Question

Find an appropriate trigonometric substitution of the form $x=f(t)$ to simplify the integral $ \int x\sqrt{7x^2+42x+59}\,\mathrm dx $

score 3k · Answer 1 · 2015-01-15 05:01:19

3k

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Find an appropriate trigonometric substitution of the form $x=f(t)$ to simplify the integral $ \int x\sqrt{7x^2+42x+59}\,\mathrm dx $

Published on 15 Jan 2015 - 5:01

score 44 · Answer 2 · 2015-01-16 11:33:56

44

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Integration with substitution results in 1/du

Published on 16 Jan 2015 - 11:33

score 801 · Answer 3 · 2015-01-16 20:04:33

801

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Published on 16 Jan 2015 - 20:04

score 103 · Answer 4 · 2015-01-17 03:44:49

103

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score 388 · Answer 5 · 2015-01-17 05:18:41

388

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score 6.1k · Answer 6 · 2026-03-28 14:07:39

6.1k

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score 113 · Answer 7 · 2026-04-10 14:37:37

113

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score 292 · Answer 8 · 2026-04-10 05:19:29

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score 59 · Answer 9 · 2015-01-19 09:44:21

59

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score 256 · Answer 10 · 2015-01-19 14:49:17

256

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Published on 19 Jan 2015 - 14:49

score 36 · Answer 11 · 2015-01-20 04:05:26

36

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Published on 20 Jan 2015 - 4:05

score 815 · Answer 12 · 2015-01-20 06:34:50

815

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Published on 20 Jan 2015 - 6:34

score 157 · Answer 13 · 2026-04-11 02:41:16

157

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score 120 · Answer 14 · 2026-04-09 01:23:16

120

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score 72 · Answer 15 · 2026-04-09 17:31:08

72

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List Question

Find an appropriate trigonometric substitution of the form $x=f(t)$ to simplify the integral $ \int x\sqrt{7x^2+42x+59}\,\mathrm dx $

Integration with substitution results in 1/du

Take integral of $\int 1/x \,dz$ where $z=x+y$?

How do I evaluate $\int u^m (1-u^2)^n du$?

Evaluate $\int(x\sqrt{1-x^4})dx$

Indefinite integration problem $\int {\frac{1}{1+ \tan^4 x}}dx$

Analytical Solution to an indefinite integral

General solution to 3D linear 2nd order PDE using Wronskian and Integrals?

Integral $\int(\frac{1}{n+\cos x})^{\frac{3}{2}}dx$

$I=\int \frac{\cos^3(x)}{\sqrt{\sin^7(x)}}\,dx$

indefinite integration the result is -1 instead of $1 \over 2$

Help me complete finding the Reduction formula of $J_n=\tan^{2n} x \sec^3 x dx$?

Evaluation of a general trigonometric integral

Trig Substitution Integral Question

Algebraic Substitution Of Fractions

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