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    • Gobles Gobles
      Sapphire
      last edited by Gobles
      Sapphire

      By any chance would any of you know how to integrate

      (7x^2-13x+13)/((x-2)(x^2-2x+3))

      Its a question on my homework and I think I’m supposed to integrate by partial fractions, but I can’t seem to get it to work.

      errolzzz terrible2koldman 2 Replies Last reply Reply Quote 3
      • element element
        LEGEND XBOX S|X
        last edited by
        LEGEND XBOX S|X

        numbers lady

        1 Reply Last reply Reply Quote 5
        • errolzzz errolzzz
          LEGEND XBOX S|X Locker Codes Ruby
          @Gobles
          last edited by
          LEGEND XBOX S|X Locker Codes Ruby

          @gobles Bruh what

          1 Reply Last reply Reply Quote 4
          • terrible2koldman terrible2koldman
            Sapphire
            @Gobles
            last edited by terrible2koldman
            Sapphire

            @gobles

            The first term is, x2 its coefficient is 1 .
            The middle term is, -2x its coefficient is -2 .
            The last term, "the constant", is +3

            Step-1 : Multiply the coefficient of the first term by the constant 1 • 3 = 3

            Step-2 : Find two factors of 3 whose sum equals the coefficient of the middle term, which is -2 .

             	-3	   +   	-1	   =   	-4	
             	-1	   +   	-3	   =   	-4	
             	1	   +   	3	   =   	4	
             	3	   +   	1	   =   	4	
            

            Observation : No two such factors can be found !!
            Conclusion : Trinomial can not be factored

            Equation at the end of step
            1
            :

            STEP
            2
            :

            Equation at the end of step
            2
            :

            STEP
            3
            :

                         7x2 - 13x + 13    
            

            Simplify ———————————————————————
            (x - 2) • (x2 - 2x + 3)
            Trying to factor by splitting the middle term

            3.1 Factoring 7x2 - 13x + 13

            The first term is, 7x2 its coefficient is 7 .
            The middle term is, -13x its coefficient is -13 .
            The last term, "the constant", is +13

            Step-1 : Multiply the coefficient of the first term by the constant 7 • 13 = 91

            Step-2 : Find two factors of 91 whose sum equals the coefficient of the middle term, which is -13 .

             	-91	   +   	-1	   =   	-92	
             	-13	   +   	-7	   =   	-20	
             	-7	   +   	-13	   =   	-20	
             	-1	   +   	-91	   =   	-92	
             	1	   +   	91	   =   	92	
             	7	   +   	13	   =   	20	
             	13	   +   	7	   =   	20	
             	91	   +   	1	   =   	92	
            

            Observation : No two such factors can be found !!
            Conclusion : Trinomial can not be factored

            Final result :
            7x2 - 13x + 13
            ———————————————————————
            (x - 2) • (x2 - 2x + 3)

            Just messing. Got this from Google. No idea what your question actually means.

            Petravork SG24 2 Replies Last reply Reply Quote 6
            • Petravork Petravork
              PS5 LEGEND Ruby
              @terrible2koldman
              last edited by
              PS5 LEGEND Ruby

              @terrible2koldman said in Integration:

              @gobles

              The first term is, x2 its coefficient is 1 .
              The middle term is, -2x its coefficient is -2 .
              The last term, "the constant", is +3

              Step-1 : Multiply the coefficient of the first term by the constant 1 • 3 = 3

              Step-2 : Find two factors of 3 whose sum equals the coefficient of the middle term, which is -2 .

               	-3	   +   	-1	   =   	-4	
               	-1	   +   	-3	   =   	-4	
               	1	   +   	3	   =   	4	
               	3	   +   	1	   =   	4	
              

              Observation : No two such factors can be found !!
              Conclusion : Trinomial can not be factored

              Equation at the end of step
              1
              :

              STEP
              2
              :

              Equation at the end of step
              2
              :

              STEP
              3
              :

                           7x2 - 13x + 13    
              

              Simplify ———————————————————————
              (x - 2) • (x2 - 2x + 3)
              Trying to factor by splitting the middle term

              3.1 Factoring 7x2 - 13x + 13

              The first term is, 7x2 its coefficient is 7 .
              The middle term is, -13x its coefficient is -13 .
              The last term, "the constant", is +13

              Step-1 : Multiply the coefficient of the first term by the constant 7 • 13 = 91

              Step-2 : Find two factors of 91 whose sum equals the coefficient of the middle term, which is -13 .

               	-91	   +   	-1	   =   	-92	
               	-13	   +   	-7	   =   	-20	
               	-7	   +   	-13	   =   	-20	
               	-1	   +   	-91	   =   	-92	
               	1	   +   	91	   =   	92	
               	7	   +   	13	   =   	20	
               	13	   +   	7	   =   	20	
               	91	   +   	1	   =   	92	
              

              Observation : No two such factors can be found !!
              Conclusion : Trinomial can not be factored

              Final result :
              7x2 - 13x + 13
              ———————————————————————
              (x - 2) • (x2 - 2x + 3)

              Just messing. Got this from Google. No idea what your question actually means.

              I know some

              1 Reply Last reply Reply Quote 7
              • SG24 SG24
                XB1 PS5 LEGEND Coach Founders Locker Codes Ruby
                @terrible2koldman
                last edited by
                XB1 PS5 LEGEND Coach Founders Locker Codes Ruby

                @terrible2koldman Smart

                1 Reply Last reply Reply Quote 4
                • Sssnaps Sssnaps
                  LEGEND PS4 Ruby new kids on the block
                  last edited by
                  LEGEND PS4 Ruby new kids on the block

                  Math

                  1 Reply Last reply Reply Quote 4
                  • Gobles Gobles
                    Sapphire
                    last edited by Gobles
                    Sapphire

                    Fuck it, I just skipped it and moved on

                    errolzzz 1 Reply Last reply Reply Quote 3
                    • errolzzz errolzzz
                      LEGEND XBOX S|X Locker Codes Ruby
                      @Gobles
                      last edited by
                      LEGEND XBOX S|X Locker Codes Ruby

                      @gobles said in Integration:

                      Fuck it, I just skipped it and moved on

                      Bro you made @terrible2koldman do all that for no reason😭

                      SG24 1 Reply Last reply Reply Quote 4
                      • errolzzz errolzzz
                        LEGEND XBOX S|X Locker Codes Ruby
                        last edited by
                        LEGEND XBOX S|X Locker Codes Ruby

                        LOBLES

                        1 Reply Last reply Reply Quote 3
                        • SG24 SG24
                          XB1 PS5 LEGEND Coach Founders Locker Codes Ruby
                          @errolzzz
                          last edited by
                          XB1 PS5 LEGEND Coach Founders Locker Codes Ruby

                          @errolzzz lmao all @terrible2koldman said in his post was an essay on factoring 💀

                          errolzzz 1 Reply Last reply Reply Quote 5
                          • errolzzz errolzzz
                            LEGEND XBOX S|X Locker Codes Ruby
                            @SG24
                            last edited by
                            LEGEND XBOX S|X Locker Codes Ruby

                            @sg24 lol I didn’t read shit he said 🤣

                            terrible2koldman 1 Reply Last reply Reply Quote 4
                            • dznasty dznasty
                              Ruby SNIPER XB1 LEGEND
                              last edited by
                              Ruby SNIPER XB1 LEGEND

                              Steiner math

                              1 Reply Last reply Reply Quote 6
                              • terrible2koldman terrible2koldman
                                Sapphire
                                @errolzzz
                                last edited by
                                Sapphire

                                @errolzzz control C control V

                                1 Reply Last reply Reply Quote 3
                                • cannabiscorpse cannabiscorpse
                                  XB1 Ruby
                                  last edited by
                                  XB1 Ruby

                                  Fuck math

                                  1 Reply Last reply Reply Quote 3
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