Trigonometric Integrals and Substitution — Engineering Board Exam Practice Questions

17 free engineering board exam reviewer questions on Trigonometric Integrals and Substitution (Integral Calculus), each with the correct answer and a worked solution.

1. Evaluate: 2x,dx
2. Evaluate: 3x,dx
3. Evaluate: 2x,dx
4. Evaluate: dxsqrt(4-x2)
5. Evaluate: /x2+9
6. Evaluate: 4≤ft(x ),dx
7. Evaluate: 14 ≤ft(x ) + 5,dx (for -π<x<π)
8. Evaluate: 1 - x2 + 4 x + 5,dx (for -1<x<5)
9. Evaluate: 1x2 + 4 x + 13,dx
10. Evaluate: x2 - 16x,dx (for x>4)
11. Evaluate: 1x2 x2 + 9,dx (assume x>0)
12. Evaluate: x2 4 - x2,dx (for 0<x<2)
13. Evaluate: 3≤ft(x ) ≤ft(x ),dx
14. Evaluate: 2≤ft(x ) 2≤ft(x ),dx
15. Evaluate: 4≤ft(x ),dx
16. Evaluate: 4≤ft(x ),dx
17. Evaluate: 3≤ft(x ) 2≤ft(x ),dx