Engineering Board Exam Reviewer · Integration by Parts · medium

Evaluate: ≤ft( x )2,dx (assume x>0)

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

Answer

B. x ≤ft(≤ft( x )2 - 2 x + 2 )+C

Solution

Parts twice: 2x,dx=x 2x-2 x,dx=x 2x-2(x x-x)=x≤ft( 2x-2 x+2 )+C.

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6. Evaluate: x3 x,dx (assume x>0)
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