Engineering Board Exam Reviewer · Trigonometric Integrals and Substitution · medium

Evaluate: 4≤ft(x ),dx

1. 3 x/8 + ≤ft(2 x )4 + ≤ft(4 x )32+C
2. 3 x/8 - ≤ft(2 x )4 + ≤ft(4 x )32+C
3. x/2 + ≤ft(2 x )4 + ≤ft(4 x )32+C
4. ≤ft(x ) 5≤ft(x )5+C

Answer

A. 3 x/8 + ≤ft(2 x )4 + ≤ft(4 x )32+C

Solution

4x=≤ft(1+ 2x/2 )2=3/8+ 2x/2+ 4x/8. Integrating: 3x/8+ 2x/4+ 4x/32+C.

More Trigonometric Integrals and Substitution questions

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

All Trigonometric Integrals and Substitution questions