Engineering Board Exam Reviewer · Partial Fractions and Rational Integrals · medium

Evaluate: 1x4 + x2,dx (assume x>0)

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

Answer

B. - ≤ft(x ) - 1/x+C

Solution

1/x2(x2+1)=1/x2-1/x2+1. Integrating: - 1x- x+C.

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2. Evaluate: x3 + 2x2 - 1,dx
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6. Evaluate: 1x2 ≤ft(x + 1 ),dx (assume x>0)
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