Question

Find area bounded by inverse of $f(x)=x^3+3x+1$,the ordinates at $x=-3$,$x=5$ and x-axis

score 3.2k · Answer 1 · 2026-04-15 21:59:40

3.2k

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Find area bounded by inverse of $f(x)=x^3+3x+1$,the ordinates at $x=-3$,$x=5$ and x-axis

Published on 15 Apr 2026 - 21:59

score 60 · Answer 2 · 2026-04-11 14:37:07

60

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Integral of series. What do I need?

Published on 11 Apr 2026 - 14:37

score 475 · Answer 3 · 2026-05-11 09:15:20

475

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What about the definite integral $\int_0^1\int_0^1\frac{(\operatorname{arctanh}(xy))(\arctan(xy))}{\log(xy)}\,dx\,dy$?

Published on 11 May 2026 - 9:15

score 1.1k · Answer 4 · 2026-05-10 16:06:36

Volume generated by revolving the region in the first quadrant bounded by the parabolas $y^2=x$, $y^2=8x$, $x^2=y$, $x^2=8y$ about the $x$-axis.

score 53 · Answer 5 · 2026-04-11 16:50:20

53

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Trying to find the mean of a Random Variable but I cannot do the integration.

Published on 11 Apr 2026 - 16:50

score 77 · Answer 6 · 2026-04-24 14:17:27

77

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Integrating over integral limits

Published on 24 Apr 2026 - 14:17

score 1.4k · Answer 7 · 2026-05-10 17:08:47

1.4k

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Solution to Poisson's equation.

Published on 10 May 2026 - 17:08

score 86 · Answer 8 · 2026-04-17 09:21:01

86

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If $f(a,b)=\int_a^b \frac {e^{ x^3/a^3}- e^{b^3/x^3}}{x} dx$, $b\neq 0$ then prove that $f(a,b)$ is always non negative.

Published on 17 Apr 2026 - 9:21

score 147 · Answer 9 · 2026-05-10 16:35:44

147

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About the proof of the inequality: $\int_0^1 |f(x)|dx\le\text{max}\left(\int_0^1 |f’(x)|dx, \left\vert\int_0^1 f(x)dx\right\vert\right)$

Published on 10 May 2026 - 16:35

score 110 · Answer 10 · 2026-05-11 08:28:30

110

Views

Not sure why the complex part of this integral is zero

Published on 11 May 2026 - 8:28

score 949 · Answer 11 · 2026-05-11 07:25:55

949

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Calculate volume enclosed by cylinder and paraboloid (integration).

Published on 11 May 2026 - 7:25

score 166 · Answer 12 · 2026-04-13 09:41:32

166

Views

Integration of a and b integral

Published on 13 Apr 2026 - 9:41

score 129 · Answer 13 · 2026-04-12 22:06:50

129

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Solving integral depending on $a$

Published on 12 Apr 2026 - 22:06

score 132 · Answer 14 · 2026-04-15 04:41:22

132

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For which values of $p,q$, does the following double integral converge?

Published on 15 Apr 2026 - 4:41

score 225 · Answer 15 · 2026-04-17 12:19:18

225

Views

Evaluate $\int_{-\infty}^\infty e^{x/2}\operatorname{sech}(x)\,dx$ without Residue Calculus

Published on 17 Apr 2026 - 12:19

List Question

Find area bounded by inverse of $f(x)=x^3+3x+1$,the ordinates at $x=-3$,$x=5$ and x-axis

Integral of series. What do I need?

What about the definite integral $\int_0^1\int_0^1\frac{(\operatorname{arctanh}(xy))(\arctan(xy))}{\log(xy)}\,dx\,dy$?

Volume generated by revolving the region in the first quadrant bounded by the parabolas $y^2=x$, $y^2=8x$, $x^2=y$, $x^2=8y$ about the $x$-axis.

Trying to find the mean of a Random Variable but I cannot do the integration.

Integrating over integral limits

Solution to Poisson's equation.

If $f(a,b)=\int_a^b \frac {e^{ x^3/a^3}- e^{b^3/x^3}}{x} dx$, $b\neq 0$ then prove that $f(a,b)$ is always non negative.

About the proof of the inequality: $\int_0^1 |f(x)|dx\le\text{max}\left(\int_0^1 |f’(x)|dx, \left\vert\int_0^1 f(x)dx\right\vert\right)$

Not sure why the complex part of this integral is zero

Calculate volume enclosed by cylinder and paraboloid (integration).

Integration of a and b integral

Solving integral depending on $a$

For which values of $p,q$, does the following double integral converge?

Evaluate $\int_{-\infty}^\infty e^{x/2}\operatorname{sech}(x)\,dx$ without Residue Calculus

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