Engineering Board Exam Reviewer · Trigonometric Integrals and Substitution · easy

Evaluate: 3≤ft(x ) 2≤ft(x ),dx

1. - 5≤ft(x )5 + 3≤ft(x )3+C
2. - 5≤ft(x )5 - 3≤ft(x )3+C
3. 5≤ft(x )5 - 3≤ft(x )3+C
4. 4≤ft(x ) 3≤ft(x )12+C

Answer

C. 5≤ft(x )5 - 3≤ft(x )3+C

Solution

Write 3x 2x= x,(1- 2x) 2x and let u= x, du=- x,dx: - (u2-u4),du=- 3x/3+ 5x/5+C.

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