List questions from improper-integrals

Published on 12 Apr 2026 - 20:17

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Maximum value of the integral: $\int _{10}^{19} \frac{\sin x}{1+x^a}dx$

Published on 20 Apr 2026 - 6:17

294

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Evaluate $ \int_{1}^{\infty} \frac{\sqrt{x - 1}}{(x + 1)^{2}} ~ \mathrm{d}{x} $.

Published on 17 Apr 2026 - 13:46

51

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Improper integrals - where am I going wrong?

Published on 16 Apr 2026 - 7:34

229

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$f:[a,\infty)\to\mathbb R$ be continuous such that $\int_a^\infty f(x)dx$ exists finitely , then $\lim_{x \to \infty}f(x)=0$ ?

Published on 02 Apr 2026 - 11:16

114

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Is $\int \limits _{0}^{1}x^\alpha|ln(x)|^\beta dx$ convergent?

Published on 16 Apr 2026 - 2:46

117

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Product of improper integrable riemann function and integrable function.

Published on 12 Apr 2026 - 16:47

57

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Improper integral

Published on 11 Apr 2026 - 0:12

40

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Is $\max \int_{- \infty}^{\infty} \frac{dx}{\pi (1 + x^2 + f ' (x)^2 )} $ a uniqueness condition here?

Published on 22 Apr 2026 - 17:52

109

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Prove $\int_{0}^\infty \mathrm{d}y\int_{0}^\infty \sin(x^2+y^2)\mathrm{d}x=\int_{0}^\infty \mathrm{d}x\int_{0}^\infty \sin(x^2+y^2)\mathrm{d}y=\pi/4$

Published on 16 Apr 2026 - 3:33

29

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How to convert $\ max \int_{-\infty}^{\infty} f(x) dx =\ min \int_{-\infty}^{\infty} g(x) dx $

Published on 14 Apr 2026 - 6:08

915

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Improper integral:- Change of Variable.

Published on 11 Apr 2026 - 8:25

49

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Improper integral for $\ f \rightarrow \infty$

Published on 14 Apr 2026 - 6:27

2.6k

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Calculating integrals with asymptotes?

Published on 13 Apr 2026 - 9:45

2.3k

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How to Solve a differential equation with both $x$ and $y$?

Published on 11 Apr 2026 - 17:28

List Question

Quite simple looking Integral

Maximum value of the integral: $\int _{10}^{19} \frac{\sin x}{1+x^a}dx$

Evaluate $ \int_{1}^{\infty} \frac{\sqrt{x - 1}}{(x + 1)^{2}} ~ \mathrm{d}{x} $.

Improper integrals - where am I going wrong?

$f:[a,\infty)\to\mathbb R$ be continuous such that $\int_a^\infty f(x)dx$ exists finitely , then $\lim_{x \to \infty}f(x)=0$ ?

Is $\int \limits _{0}^{1}x^\alpha|ln(x)|^\beta dx$ convergent?

Product of improper integrable riemann function and integrable function.

Improper integral

Is $\max \int_{- \infty}^{\infty} \frac{dx}{\pi (1 + x^2 + f ' (x)^2 )} $ a uniqueness condition here?

Prove $\int_{0}^\infty \mathrm{d}y\int_{0}^\infty \sin(x^2+y^2)\mathrm{d}x=\int_{0}^\infty \mathrm{d}x\int_{0}^\infty \sin(x^2+y^2)\mathrm{d}y=\pi/4$

How to convert $\ max \int_{-\infty}^{\infty} f(x) dx =\ min \int_{-\infty}^{\infty} g(x) dx $

Improper integral:- Change of Variable.

Improper integral for $\ f \rightarrow \infty$

Calculating integrals with asymptotes?

How to Solve a differential equation with both $x$ and $y$?

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