Question

Integrate $\int \frac {1+x^2}{\sqrt{6+3x^2}}dx$

score 88 · Answer 1 · 2023-04-29 14:09:39

88

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Integrate $\int \frac {1+x^2}{\sqrt{6+3x^2}}dx$

Published on 29 Apr 2023 - 14:09

score 132 · Answer 2 · 2023-04-30 12:16:38

132

Views

Integrate $\int{ \frac{x-1}{x^2\sqrt{2x^2-2x+1}} dx}$

Published on 30 Apr 2023 - 12:16

score 89 · Answer 3 · 2023-05-01 13:55:18

89

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Evaluating $\displaystyle{\int{\dfrac{\arcsin{x}}{\sqrt{1 + x}}}}$ with minimum substitutions.

Published on 01 May 2023 - 13:55

score 194 · Answer 4 · 2023-05-02 11:29:18

194

Views

How to properly find the antiderivative of $\sqrt{x}$ at $x=0$?

Published on 02 May 2023 - 11:29

score 62 · Answer 5 · 2026-03-27 09:48:06

62

Views

I am confused on the substitution method for the following integral. I've put it in symbolab and wolframalpha and idk how they get -1/2*e^(2/x^2)

Published on 27 Mar 2026 - 9:48

score 143 · Answer 6 · 2026-04-01 14:02:15

143

Views

Evaluate the integral $\int e^{-it} \operatorname{sinc} t \,dt$

Published on 01 Apr 2026 - 14:02

score 98 · Answer 7 · 2023-05-05 20:16:19

98

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Integrate $\int (x+1)^{10} (x+2) \ dx $ by parts

Published on 05 May 2023 - 20:16

score 68 · Answer 8 · 2023-05-05 22:41:22

68

Views

How to know which contour to use?

Published on 05 May 2023 - 22:41

score 141 · Answer 9 · 2023-05-06 17:58:37

141

Views

MIT Integration Bee 2023 Semifinal 2 Problem 1 $\int (\sqrt{x+1}-\sqrt{x})^\pi dx$

Published on 06 May 2023 - 17:58

score 394 · Answer 10 · 2023-05-08 03:53:53

394

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Why does Apostol introduce the $\int_{a}^{b}f(t)dt=F(b)-F(a)$ property at this point (before discussing differentiation)? Motivations?

Published on 08 May 2023 - 3:53

score 157 · Answer 11 · 2023-05-09 17:46:00

157

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When $\int_{a}^{b} \big( f(x)+g(x) \big) \text{ d}x$ is easy to evaluate but $\int_{a}^{b} f(x) \text{ d}x$ and $\int_{a}^{b} g(x) \text{ d}x$ are not

Published on 09 May 2023 - 17:46

score 45 · Answer 12 · 2026-04-03 12:52:32

45

Views

Integrating exponential with large complex argument sends the result to zero

Published on 03 Apr 2026 - 12:52

score 118 · Answer 13 · 2026-03-28 11:13:39

118

Views

Proof that MGF of log-normal distribution is finite

Published on 28 Mar 2026 - 11:13

score 73 · Answer 14 · 2023-05-13 07:09:12

73

Views

How to find the integral of $\int_{o}^{u} x^{k}\frac{\alpha\theta^{\alpha}}{\left( x+\theta \right)^{\alpha+1}} dx$?

Published on 13 May 2023 - 7:09

score 64 · Answer 15 · 2023-05-13 08:52:17

64

Views

Getting different answers when computing $ \int \sin \theta \cos^3 \theta \, {\rm d}\theta $

Published on 13 May 2023 - 8:52

List Question

Integrate $\int \frac {1+x^2}{\sqrt{6+3x^2}}dx$

Integrate $\int{ \frac{x-1}{x^2\sqrt{2x^2-2x+1}} dx}$

Evaluating $\displaystyle{\int{\dfrac{\arcsin{x}}{\sqrt{1 + x}}}}$ with minimum substitutions.

How to properly find the antiderivative of $\sqrt{x}$ at $x=0$?

I am confused on the substitution method for the following integral. I've put it in symbolab and wolframalpha and idk how they get -1/2*e^(2/x^2)

Evaluate the integral $\int e^{-it} \operatorname{sinc} t \,dt$

Integrate $\int (x+1)^{10} (x+2) \ dx $ by parts

How to know which contour to use?

MIT Integration Bee 2023 Semifinal 2 Problem 1 $\int (\sqrt{x+1}-\sqrt{x})^\pi dx$

Why does Apostol introduce the $\int_{a}^{b}f(t)dt=F(b)-F(a)$ property at this point (before discussing differentiation)? Motivations?

When $\int_{a}^{b} \big( f(x)+g(x) \big) \text{ d}x$ is easy to evaluate but $\int_{a}^{b} f(x) \text{ d}x$ and $\int_{a}^{b} g(x) \text{ d}x$ are not

Integrating exponential with large complex argument sends the result to zero

Proof that MGF of log-normal distribution is finite

How to find the integral of $\int_{o}^{u} x^{k}\frac{\alpha\theta^{\alpha}}{\left( x+\theta \right)^{\alpha+1}} dx$?

Getting different answers when computing $ \int \sin \theta \cos^3 \theta \, {\rm d}\theta $

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