Evaluate the following indefinite integrals a. $$ \int \frac{d x}{\sin x\left(2+\cos ^{2} x\right)} $$ b. $$ \int \frac{3 x^{2}+7 x+12}{(x+1)\left(x^{2}+7 x+5\right)} d x $$

Question

Ford Mcfarlane · Accepted Answer

a. $$ \int \frac{dx}{\sin x (2 + \cos^2 x)} = 	ext{(some function of x)} + C $$ b. $$ \int \frac{3x^2 + 7x + 12}{(x+1)(x^2 + 7x + 5)} dx = -8 \ln |x+1| + 	ext{(result of the second integral)} + C $$

Evaluate the following indefinite integrals a. \( \int \frac{d x}{\sin x\left(2+\cos ^{2} x\right)} \) b. \( \int \frac{3 x^{2}+7 x+12}{(x+1)\left(x^{2}+7 x+5\right)} d x \)

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Evaluate the following indefinite integrals a. \( \int \frac{d x}{\sin x\left(2+\cos ^{2} x\right)} \) b. \( \int \frac{3 x^{2}+7 x+12}{(x+1)\left(x^{2}+7 x+5\right)} d x \)

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Solución paso a paso

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