List questions from integration

354

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If $\int_{1}^{\infty}f\left(x\right)dx$ converges absolutely then $\int_{1}^{\infty}f^{2}\left(x\right)dx$ converges?

Published on 17 Apr 2026 - 8:39

301

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Is this a proof that $\operatorname{Si}(x)$ is well-defined, continuous and bounded?

Published on 10 Apr 2026 - 11:36

39

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Integral question calculus cylinders

Published on 25 Apr 2026 - 19:32

110

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PDE IVP : $\Delta u(x,y)=e^{-x^4-y^4}, \; \; u_y(x,0) = e^{-|x|}\sin(x)$

Published on 10 May 2026 - 19:20

110

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Numerical averaging of a highly oscillatory data set.

Published on 10 May 2026 - 18:25

80

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Integration problem and fundamental theorem of calculus 1

Published on 12 Apr 2026 - 12:33

98

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Problem on Definite Integration

Published on 10 May 2026 - 21:08

236

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PDE : $x^2 z_x + y^2 z_y = z(x+y)$

Published on 15 Apr 2026 - 18:45

265

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Integral $I=\int_0^1 \frac{\ln x\arctan(ax)}{1+b^2x^2}dx$

Published on 11 May 2026 - 9:09

156

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Evaluate $\int_{-n}^{n} (-1)^{\lfloor x \rfloor}dx$

Published on 11 May 2026 - 8:29

179

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Evaluate indefinite integral $\int \tan(\frac{x}{3}) \, dx$

Published on 17 Apr 2026 - 1:22

62

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Estimation of some Integrals, which exceeded Wolfram Alpha's free computation time.

Published on 19 Apr 2026 - 3:56

145

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Puzzling Double integral

Published on 12 Apr 2026 - 6:54

152

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Evaluate $\int_1^{\infty} \frac {(\{x\}-\frac 12)dx}{x}$

Published on 17 Apr 2026 - 12:18

134

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Use any method, determine whether the series $\sum_{k=1}^{\infty} \frac{7^{k} + k}{k! + 1}$ converges?

Published on 15 Apr 2026 - 10:33

List Question

If $\int_{1}^{\infty}f\left(x\right)dx$ converges absolutely then $\int_{1}^{\infty}f^{2}\left(x\right)dx$ converges?

Is this a proof that $\operatorname{Si}(x)$ is well-defined, continuous and bounded?

Integral question calculus cylinders

PDE IVP : $\Delta u(x,y)=e^{-x^4-y^4}, \; \; u_y(x,0) = e^{-|x|}\sin(x)$

Numerical averaging of a highly oscillatory data set.

Integration problem and fundamental theorem of calculus 1

Problem on Definite Integration

PDE : $x^2 z_x + y^2 z_y = z(x+y)$

Integral $I=\int_0^1 \frac{\ln x\arctan(ax)}{1+b^2x^2}dx$

Evaluate $\int_{-n}^{n} (-1)^{\lfloor x \rfloor}dx$

Evaluate indefinite integral $\int \tan(\frac{x}{3}) \, dx$

Estimation of some Integrals, which exceeded Wolfram Alpha's free computation time.

Puzzling Double integral

Evaluate $\int_1^{\infty} \frac {(\{x\}-\frac 12)dx}{x}$

Use any method, determine whether the series $\sum_{k=1}^{\infty} \frac{7^{k} + k}{k! + 1}$ converges?

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