List questions from integration

Published on 09 Apr 2026 - 23:20

88

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Find $ \int \cos(x) \sqrt{1+\sin^2(x)} dx$

Published on 10 Apr 2026 - 3:04

93

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Is there something wrong about my solution to $\int \frac{1}{\sin(x) + \cos(x)} dx$?

Published on 24 Mar 2026 - 17:38

227

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Find contour integral around the circle $\oint\frac{2z-1}{z(z-1)}dz$

Published on 09 Apr 2026 - 0:33

341

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prove that $\int_{-\infty}^{\infty} \frac{x^4}{1+x^8} dx= \frac{\pi}{\sqrt 2} \sin \frac{\pi}{8}$

Published on 09 Apr 2026 - 23:35

207

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How to find $\int \sqrt{x^8 + 2 + x^{-8}} \,\mathrm{d}x$?

Published on 09 Apr 2026 - 9:32

81

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strange partial integration

Published on 09 Apr 2026 - 23:05

406

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$\int \ x\sqrt{1-x^2}\,dx$, by the substitution $x= \cos t$

Published on 09 Apr 2026 - 23:11

347

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What is$\lim\limits_{n \rightarrow +\infty} \left(\int_{a}^{b}e^{-nt^2}\text{d}t\right)^{1/n}$?

Published on 10 Apr 2026 - 2:54

81

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$\int\limits_{S(1,1)} (\frac{z}{z-1} )^n dz $

Published on 12 Mar 2026 - 3:04

89

Views

Can I measure the variance of an integral estimate?

Published on 02 Apr 2026 - 4:04

63

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Inconsistent calculation for conditional expectation

Published on 09 Apr 2026 - 0:02

164

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Hint required : Why is the integral $\int_0^x \frac{\sin(t)}{1+t}\mathrm{d}t$ positive?

Published on 10 Apr 2026 - 1:13

165

Views

Why is substitution valid in Intergals?

Published on 27 Mar 2026 - 9:05

72

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Integral of a singularity function

Published on 27 Mar 2026 - 6:49

List Question

An inequality involving $\int_0^{\frac{\pi}{2}}\sqrt{\sin x}\:dx $

Find $ \int \cos(x) \sqrt{1+\sin^2(x)} dx$

Is there something wrong about my solution to $\int \frac{1}{\sin(x) + \cos(x)} dx$?

Find contour integral around the circle $\oint\frac{2z-1}{z(z-1)}dz$

prove that $\int_{-\infty}^{\infty} \frac{x^4}{1+x^8} dx= \frac{\pi}{\sqrt 2} \sin \frac{\pi}{8}$

How to find $\int \sqrt{x^8 + 2 + x^{-8}} \,\mathrm{d}x$?

strange partial integration

$\int \ x\sqrt{1-x^2}\,dx$, by the substitution $x= \cos t$

What is$\lim\limits_{n \rightarrow +\infty} \left(\int_{a}^{b}e^{-nt^2}\text{d}t\right)^{1/n}$?

$\int\limits_{S(1,1)} (\frac{z}{z-1} )^n dz $

Can I measure the variance of an integral estimate?

Inconsistent calculation for conditional expectation

Hint required : Why is the integral $\int_0^x \frac{\sin(t)}{1+t}\mathrm{d}t$ positive?

Why is substitution valid in Intergals?

Integral of a singularity function

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