Engineering Board Exam Reviewer · Integration by Parts · medium

Evaluate: ≤ft(x ),dx

1. x ≤ft(x ) - ≤ft(x2 + 1 )2+C
2. x ≤ft(x ) - ≤ft(x2 + 1 )+C
3. x ≤ft(x ) + ≤ft(x2 + 1 )2+C
4. x ≤ft(x ) - 1x2 + 1+C

Answer

A. x ≤ft(x ) - ≤ft(x2 + 1 )2+C

Solution

Let u= x, dv=dx: x,dx=x x- /1+x2,dx=x x- 12 (1+x2)+C.

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