Evaluate the improper integral or state that it is divergent. dx / x2 - 25 Choos

Question

Evaluate the improper integral or state that it is divergent. dx / x2 - 25 Choose one answer. 1 / 10 ln 6 - 1 / 5 ln 11 1 / 10 ln 11 1 / 10 ln 1 / 6 Evaluate the integral. 6 cos3 3x dx Choose one answer. 2 sin 3x - 2 / 3 cos3 3x + C 2 sin 3x + 2 / 3 sin3 3x + C 2 sin 3x - 2 / 3 sin3 3x + C 6 sin 3x - 2 sin3 3x + C Express the integrand as a sum of partial fractions and evaluate the integral. x3 / x2 + 16x + 64 dx Choose one answer. x2 / 2 - 16x + 48ln|x + 4| + 64 / x + 4 + C 48ln|x - 16| + 48 / x + 4 - 64 / (x + 4)2 + C x2 / 2 - 16x - 48ln|x + 4| + 64 / (x + 4)2 + C x2 / 2 - 16x+12ln|x + 4| - 16 / x + 4 + C

Explanation / Answer

Answer is 1)C 2)A 3)A

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