Engineering Board Exam Reviewer · Indefinite Integrals - Basic Formulas · medium

Evaluate: ≤ft(e3 x + e- 3 x )2,dx

1. 2 x + e6 x6 + e- 6 x6+C
2. 2 x + e6 x6 - e- 6 x6+C
3. 2 x + e6 x - e- 6 x+C
4. ≤ft(e3 x - e- 3 x )39+C

Answer

B. 2 x + e6 x6 - e- 6 x6+C

Solution

Expand: ≤ft(e3x+e-3x )2=e6x+2+e-6x. Integrating term by term gives e6x6+2x- e-6x6+C.

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