Partial Fractions and Rational Integrals — Engineering Board Exam Practice Questions

8 free engineering board exam reviewer questions on Partial Fractions and Rational Integrals (Integral Calculus), each with the correct answer and a worked solution.

1. Evaluate: 1x4 + x2,dx (assume x>0)
2. Evaluate: 4 xx4 - 1,dx
3. Evaluate: x3 + 2x2 - 1,dx
4. Evaluate: 2 x2 + 3≤ft(x + 2 ) ≤ft(x2 + 1 ),dx
5. Evaluate: 3 x + 5≤ft(x - 1 )2 ≤ft(x + 1 ),dx
6. Evaluate: x2 + 1x ≤ft(x - 1 )2,dx (for x>1)
7. Evaluate: 1x2 ≤ft(x + 1 ),dx (assume x>0)
8. Evaluate: 5 x - 3/≤ft(x - 1 ) ≤ft(x + 2 ),dx