The value of $\int \sqrt{\frac{e^x-1}{e^x+1}}dx$ is equal to

Important Questions on Indefinite Integration

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 29 - Indefinite Integration>Exercise-1>Q 101

If $\int \frac{dx}{x^4+x^3}=\frac{A}{x^2}+\frac{B}{x}+\ln \left|\frac{x}{x+1}\right|+C,$ then

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Alpha Question Bank for Engineering: Mathematics>Chapter 29 - Indefinite Integration>Exercise-1>Q 102

The value of $\int \frac{\cos 2x}{(\sin x+\cos x{)}^2}dx$ is equal to

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Alpha Question Bank for Engineering: Mathematics>Chapter 29 - Indefinite Integration>Exercise-1>Q 103

The value of $\int [1+\tan x·\tan (x+\alpha \left)\right]dx$ is equal to

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Alpha Question Bank for Engineering: Mathematics>Chapter 29 - Indefinite Integration>Exercise-1>Q 104

The value of $\int \sqrt{\sec x-1}dx$ is equal to

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Alpha Question Bank for Engineering: Mathematics>Chapter 29 - Indefinite Integration>Exercise-1>Q 105

The value of $\int \frac{dx}{{\cos }^{3}x\sqrt{\sin 2x}}$ is equal to

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Alpha Question Bank for Engineering: Mathematics>Chapter 29 - Indefinite Integration>Exercise-1>Q 106

Antiderivative of $\frac{{\sin }^{2}x}{1+{\sin }^{2}x}$ w.r.t. to $x$ is

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Alpha Question Bank for Engineering: Mathematics>Chapter 29 - Indefinite Integration>Exercise-1>Q 107

Integrate  $\frac{1}{1-\cot x}$ .

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Alpha Question Bank for Engineering: Mathematics>Chapter 29 - Indefinite Integration>Exercise-1>Q 109

If ${\mathrm{I}}_n=\int \frac{e^x}{x^n}dx$ and $I_n=\frac{-e^x}{k_1{x}^{n-1}}+\frac{1}{k_2-1}{I}_{n-1}, n\in N, n\ge 2$, then $\left(k_2-k_1\right)$ is equal to: