List questions from indefinite-integrals

Published on 26 Jan 2017 - 11:32

423

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Integrate $\sec^n(x)\ dx$ for odd n, without using a recursive formula.

Published on 26 Jan 2017 - 21:59

54

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How can I evaluate the following integral?

Published on 26 Mar 2026 - 21:07

237

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Find the volume of the solid between $z=1-x^2-y^2 $ and $y+z=1 $ using polar coordinates?

Published on 02 Apr 2026 - 15:19

2.9k

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On the integral $\int\sqrt{1+\cos x}\text{d} x$

Published on 27 Jan 2017 - 23:21

69

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Find $H'(2)$ given that $H(x) = \int^{x^3-4}_{2x} \frac{x}{1+\sqrt{t}}dt$

Published on 28 Jan 2017 - 15:32

4.7k

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Why isn't $\int \frac{1}{x}~dx = \frac{x^0}{0}$?

Published on 28 Jan 2017 - 17:28

1.7k

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Find the area between the curves $y=\ln(x), y=1, y=-1, y^2 = x+2$

Published on 29 Jan 2017 - 2:50

44

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Can a continuous function have an indefinite integral that is discontinuous at a point?

Published on 31 Jan 2017 - 0:58

15.2k

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Integral of the product of a function and its derivative.

Published on 31 Jan 2017 - 1:03

62

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Is there some close form solution available for following integral?

Published on 31 Jan 2017 - 8:20

1.6k

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Evaluate $\int \log(1+2m \cos x+m^2) dx$

Published on 31 Jan 2017 - 12:30

178

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Tricky Trigonometric Integral

Published on 31 Jan 2017 - 20:30

207

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Integral of $e^{mx^{3}}$

Published on 01 Feb 2017 - 0:33

413

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Integral that evaluates to a $\tanh^{-1}$, with initial value conditions

Published on 27 Mar 2026 - 8:41

List Question

Why is that $\int (-2\sin 2xdx ≠ \int( -4\sin x\cos x)dx$?

Integrate $\sec^n(x)\ dx$ for odd n, without using a recursive formula.

How can I evaluate the following integral?

Find the volume of the solid between $z=1-x^2-y^2 $ and $y+z=1 $ using polar coordinates?

On the integral $\int\sqrt{1+\cos x}\text{d} x$

Find $H'(2)$ given that $H(x) = \int^{x^3-4}_{2x} \frac{x}{1+\sqrt{t}}dt$

Why isn't $\int \frac{1}{x}~dx = \frac{x^0}{0}$?

Find the area between the curves $y=\ln(x), y=1, y=-1, y^2 = x+2$

Can a continuous function have an indefinite integral that is discontinuous at a point?

Integral of the product of a function and its derivative.

Is there some close form solution available for following integral?

Evaluate $\int \log(1+2m \cos x+m^2) dx$

Tricky Trigonometric Integral

Integral of $e^{mx^{3}}$

Integral that evaluates to a $\tanh^{-1}$, with initial value conditions

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