Chapter 14

Exponential and Logarithmic Functions, Part Two

Educators


Problem 1

Evaluate the following integrals. The answers are in Chapter 19
$$
\int \frac{\sec ^{2} x}{\tan x} d x
$$

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Problem 2

Evaluate the following integrals. The answers are in Chapter 19
$$
\int \frac{\cos x}{1-\sin x} d x
$$

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Problem 3

Evaluate the following integrals. The answers are in Chapter 19
$$
\int \frac{1}{x \ln x} d x
$$

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Problem 4

Evaluate the following integrals. The answers are in Chapter 19
$$
\int \frac{\sin x-\cos x}{\cos x} d x
$$

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Problem 5

Evaluate the following integrals. The answers are in Chapter 19
$$
\int \frac{d x}{\sqrt{x}(1+2 \sqrt{x})}
$$

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Problem 6

Evaluate the following integrals. The answers are in Chapter 19
$$
\int \frac{e^{x} d x}{1+e^{x}}
$$

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Problem 7

Evaluate the following integrals. The answers are in Chapter 19
$$
\int x e^{5 x^{2}-1} d x
$$

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Problem 8

Evaluate the following integrals. The answers are in Chapter 19
$$
\int \frac{e^{x}+e^{-x}}{e^{x}-e^{-x}} d x
$$

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Problem 9

Evaluate the following integrals. The answers are in Chapter 19
$$
\int x 4^{-x^{2}} d x
$$

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Problem 10

Evaluate the following integrals. The answers are in Chapter 19
$$
\int 7^{\sin x} \cos x d x
$$

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