Engineering Board Exam Reviewer · Integration by Parts · easy

Evaluate: x ≤ft(2 x ),dx

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

Answer

D. x ≤ft(2 x )2 + ≤ft(2 x )4+C

Solution

Let u=x, dv= 2x,dx: x 2x,dx=x 2x/2- 2x/2,dx=x 2x/2+ 2x/4+C.

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