List questions from calculus

Published on 09 Apr 2026 - 0:10

79

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How to evaluate this $\int_{0}^{\pi/2}(\cos x)^{a+b}\cos {(b-a)x}\, dx$

Published on 31 Mar 2026 - 7:07

43

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Something feels wrong in my solution

Published on 10 Apr 2026 - 12:10

491

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How to calculate the integral $\int x d(4x) $?

Published on 20 Jan 2018 - 8:21

118

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a risk lover agent behave as if risk natural.

Published on 10 Apr 2026 - 21:04

287

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Integral of $\int_0^{\infty} \ln\left|\frac{x+A}{x+B}\right|\frac{x}{e^{C x}\pm 1}dx$

Published on 10 Apr 2026 - 6:30

76

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Calculus - Related Rates

Published on 11 Apr 2026 - 9:41

1.4k

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$\sum a_n$ and $\sum b_n$ converges. Prove $\sum a_nb_n$ converges.

Published on 10 Apr 2026 - 17:40

66

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Derivative of $\sqrt[3]{(x-1)(x+2)^2}$

Published on 10 Apr 2026 - 8:25

51

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Determine whether the series converge or diverge

Published on 10 Apr 2026 - 17:40

222

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Evaluate: $\int \sqrt {\frac {x}{a-x}}\, dx $

Published on 24 Mar 2026 - 20:32

246

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Calculating integral using pdf's $\int_0^1x^r(1-x)^{n-r}dx$

Published on 09 Apr 2026 - 0:06

1.6k

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Arc length of curve of intersection between cylinder and sphere

Published on 09 Apr 2026 - 0:08

63

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Proof using Taylor expansion

Published on 09 Apr 2026 - 1:08

901

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Evaluate $\int \frac {e^x -1}{e^x + 1} dx$

Published on 20 Jan 2018 - 16:21

List Question

To show $\int_{a}^{a+T} f(x)dx$ is independant in $a$

How to evaluate this $\int_{0}^{\pi/2}(\cos x)^{a+b}\cos {(b-a)x}\, dx$

Something feels wrong in my solution

How to calculate the integral $\int x d(4x) $?

a risk lover agent behave as if risk natural.

Integral of $\int_0^{\infty} \ln\left|\frac{x+A}{x+B}\right|\frac{x}{e^{C x}\pm 1}dx$

Calculus - Related Rates

$\sum a_n$ and $\sum b_n$ converges. Prove $\sum a_nb_n$ converges.

Derivative of $\sqrt[3]{(x-1)(x+2)^2}$

Determine whether the series converge or diverge

Evaluate: $\int \sqrt {\frac {x}{a-x}}\, dx $

Calculating integral using pdf's $\int_0^1x^r(1-x)^{n-r}dx$

Arc length of curve of intersection between cylinder and sphere

Proof using Taylor expansion

Evaluate $\int \frac {e^x -1}{e^x + 1} dx$

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