Evaluate the integral: ?(cot x + 5)dx -ln|sin x| + 5x + C -ln|cos x| + 5x + C ln|cos x| + 5x + C ln|sin x| + 5x + C
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For problems 5 - 14, use the suggested u to find du and rewrite the integral in terms of u and du. Then find an antiderivative in terms of u and, finally, rewrite your answer in terms of x. 5. ∫ cos(3x) dx u = 3x 6. ∫ sin(7x) dx u = 7x 7. ∫ e^x sin(2 + e^x) dx u = 2 + e^x 8. ∫ e^5x dx u = 5x
Supreeta N.
what is the right answer?
Supratim P.
Find the integrals .Check your answers by differentiation. $$\int \sin ^{6}(5 \theta) \cos (5 \theta) d \theta$$
Antiderivatives and Applications
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