Question

Maximising the argument of $\sin and \cos$, given a linear relation between them

score 28 · Answer 1 · 2020-07-03 07:54:13

28

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Maximising the argument of $\sin and \cos$, given a linear relation between them

Published on 03 Jul 2020 - 7:54

score 488 · Answer 2 · 2020-07-03 23:21:08

488

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How do I evaluate $\int{\frac{x^3}{x^2-1}dx}$ using trigonometric substitution?

Published on 03 Jul 2020 - 23:21

score 225 · Answer 3 · 2020-07-04 23:33:49

225

Views

How can I solve this $\int\dfrac{1}{\sqrt{5e^{-2x}+4e^{-x}+1} } \mathop{dx}=?$

Published on 04 Jul 2020 - 23:33

score 645 · Answer 4 · 2020-07-05 14:14:06

645

Views

Understanding the substitution theorem of Riemann integration.

Published on 05 Jul 2020 - 14:14

score 95 · Answer 5 · 2020-07-10 10:54:08

95

Views

$\int_{0}^{1}\frac{x}{\sqrt{1-x}}dx$

Published on 10 Jul 2020 - 10:54

score 352 · Answer 6 · 2020-07-11 23:48:59

352

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How can I integrate $\int \frac{u^3}{(u^2+1)^3}du?$

Published on 11 Jul 2020 - 23:48

score 49 · Answer 7 · 2020-07-16 19:36:30

49

Views

Proof appears to use substitution inconsistently.

Published on 16 Jul 2020 - 19:36

score 35 · Answer 8 · 2026-03-26 20:36:20

35

Views

Expressing $\cos(\varphi)$ using $ z=e^{i \varphi} $

Published on 26 Mar 2026 - 20:36

score 51 · Answer 9 · 2020-07-19 12:38:30

51

Views

Substitution inside integral?

Published on 19 Jul 2020 - 12:38

score 37 · Answer 10 · 2020-07-19 22:09:04

37

Views

Different answers when changing variables in a definite integral with an infinite lower limit

Published on 19 Jul 2020 - 22:09

score 91 · Answer 11 · 2020-07-22 09:46:03

91

Views

Need some help with solving this integral.....

Published on 22 Jul 2020 - 9:46

score 121 · Answer 12 · 2026-03-28 04:53:22

121

Views

Prove that $(a b+b c+c a-1)^{2} \leq\left(a^{2}+1\right)\left(b^{2}+1\right)\left(c^{2}+1\right)$.

Published on 28 Mar 2026 - 4:53

score 634 · Answer 13 · 2020-07-24 23:52:54

634

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Prove this tabulated integral $\int_0^\infty x^ne^{-\alpha x} \, dx=\frac{n!}{\alpha^{n+1}}$

Published on 24 Jul 2020 - 23:52

score 528 · Answer 14 · 2020-07-27 19:01:31

528

Views

Why does making the 'wrong' $u$-substitution still work in this example?

Published on 27 Jul 2020 - 19:01

score 171 · Answer 15 · 2020-07-30 08:50:53

171

Views

Integrating $\int \sqrt{a^2+x^2} \ \mathrm{d} x$ with trig. substitution

Published on 30 Jul 2020 - 8:50

List Question

Maximising the argument of $\sin and \cos$, given a linear relation between them

How do I evaluate $\int{\frac{x^3}{x^2-1}dx}$ using trigonometric substitution?

How can I solve this $\int\dfrac{1}{\sqrt{5e^{-2x}+4e^{-x}+1} } \mathop{dx}=?$

Understanding the substitution theorem of Riemann integration.

$\int_{0}^{1}\frac{x}{\sqrt{1-x}}dx$

How can I integrate $\int \frac{u^3}{(u^2+1)^3}du?$

Proof appears to use substitution inconsistently.

Expressing $\cos(\varphi)$ using $ z=e^{i \varphi} $

Substitution inside integral?

Different answers when changing variables in a definite integral with an infinite lower limit

Need some help with solving this integral.....

Prove that $(a b+b c+c a-1)^{2} \leq\left(a^{2}+1\right)\left(b^{2}+1\right)\left(c^{2}+1\right)$.

Prove this tabulated integral $\int_0^\infty x^ne^{-\alpha x} \, dx=\frac{n!}{\alpha^{n+1}}$

Why does making the 'wrong' $u$-substitution still work in this example?

Integrating $\int \sqrt{a^2+x^2} \ \mathrm{d} x$ with trig. substitution

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