Find the indefinite integral. (Remember to use absolute values where

trainart1

trainart1

Answered question

2021-12-03

Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
2x2+5x4x7dx

Answer & Explanation

George Woody

George Woody

Beginner2021-12-04Added 16 answers

Step 1
The integral is 2x2+5x4x7dx.
Step 2
Evaluate the integral.
2x2+5x4x7dx=2(u+7)2+5(u+7)4udu   [substitution methodu=x7du=dx]
=2(u2+14u+49)+5u+354udu
=(2u+33+129u)du
=2u22+33u+129ln|u|+C
=2(x7)22+33(x7)+129ln|x7|+C
=x2+19x+129ln|x7|182+C

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