Question

trying to understand the method of evaluating intergral $\int R[x,(\frac{ax+b}{cx+d})^\lambda,(\frac{ax+b}{cx+d})^\mu,...]dx$

score 82 · Answer 1 · 2026-04-13 20:05:11

82

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trying to understand the method of evaluating intergral $\int R[x,(\frac{ax+b}{cx+d})^\lambda,(\frac{ax+b}{cx+d})^\mu,...]dx$

Published on 13 Apr 2026 - 20:05

score 67 · Answer 2 · 2026-04-16 23:54:36

67

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If $f$ has integral on $[a,b]$ and continuous at $x_0∈[a,b]$ then $F$ has derivative at point $x_0$ and $F'(x_0)=f(x_0)$.

Published on 16 Apr 2026 - 23:54

score 80 · Answer 3 · 2026-04-16 14:46:52

80

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What is the value of $\int_0^{\log 2}\int_{-1}^1ye^{xy} \,dx\,dy\,$?

Published on 16 Apr 2026 - 14:46

score 1.4k · Answer 4 · 2026-04-16 10:21:47

1.4k

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How do I evaluate $\int_0^{\pi/2}\int_0^2 x^2y\cos(xy^2)\,dx\,dy$?

Published on 16 Apr 2026 - 10:21

score 74 · Answer 5 · 2026-04-14 11:07:19

74

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Is the value of these two same double Integrals of different upper limit of y equal when i shift to polar coordinates and use Jacobian?

Published on 14 Apr 2026 - 11:07

score 91 · Answer 6 · 2026-04-14 08:37:05

91

Views

Solve differential equation. $2xy'$ + $y^2 - 1 =0$

Published on 14 Apr 2026 - 8:37

score 145 · Answer 7 · 2026-04-14 17:53:07

145

Views

Evaluating $\int e^{-\sqrt{a^2 - b^2} \cosh(x)} \, dx$

Published on 14 Apr 2026 - 17:53

score 31 · Answer 8 · 2026-04-16 04:39:57

31

Views

Integrating $\frac{x^\gamma}{(a+b x^2)^\alpha (c+d x^2)^\beta}$

Published on 16 Apr 2026 - 4:39

score 164 · Answer 9 · 2026-04-17 08:08:07

164

Views

Evaluating $\int \frac{x\sin x-\cos x}{x\left(2\cos x+x-x\sin x\right)} {\rm d} x$ using elementary methods

Published on 17 Apr 2026 - 8:08

score 70 · Answer 10 · 2026-04-13 06:37:19

70

Views

Is there anything in integral calculus other than definite and indefinite integrals?

Published on 13 Apr 2026 - 6:37

score 1.8k · Answer 11 · 2026-04-12 16:56:58

1.8k

Views

Various ways to calculate $\int \sin(x) \cos(x) \, \mathrm{d}x$

Published on 12 Apr 2026 - 16:56

score 108 · Answer 12 · 2026-04-16 02:25:20

108

Views

Please help me with $\int 3x^2\sqrt{5x^3-3}dx$

Published on 16 Apr 2026 - 2:25

score 46 · Answer 13 · 2026-04-09 02:46:30

46

Views

Integration of trigonometric and logarithmic terms

Published on 09 Apr 2026 - 2:46

score 95 · Answer 14 · 2026-04-15 12:22:15

95

Views

Integrating $\sin^4 x$ using Taylor series

Published on 15 Apr 2026 - 12:22

score 161 · Answer 15 · 2026-04-16 22:44:44

161

Views

Evaluate indefinite integral $\int \frac{\sqrt{x}+ 1}{\sqrt{x}-1} dx$

Published on 16 Apr 2026 - 22:44

List Question

trying to understand the method of evaluating intergral $\int R[x,(\frac{ax+b}{cx+d})^\lambda,(\frac{ax+b}{cx+d})^\mu,...]dx$

If $f$ has integral on $[a,b]$ and continuous at $x_0∈[a,b]$ then $F$ has derivative at point $x_0$ and $F'(x_0)=f(x_0)$.

What is the value of $\int_0^{\log 2}\int_{-1}^1ye^{xy} \,dx\,dy\,$?

How do I evaluate $\int_0^{\pi/2}\int_0^2 x^2y\cos(xy^2)\,dx\,dy$?

Is the value of these two same double Integrals of different upper limit of y equal when i shift to polar coordinates and use Jacobian?

Solve differential equation. $2xy'$ + $y^2 - 1 =0$

Evaluating $\int e^{-\sqrt{a^2 - b^2} \cosh(x)} \, dx$

Integrating $\frac{x^\gamma}{(a+b x^2)^\alpha (c+d x^2)^\beta}$

Evaluating $\int \frac{x\sin x-\cos x}{x\left(2\cos x+x-x\sin x\right)} {\rm d} x$ using elementary methods

Is there anything in integral calculus other than definite and indefinite integrals?

Various ways to calculate $\int \sin(x) \cos(x) \, \mathrm{d}x$

Please help me with $\int 3x^2\sqrt{5x^3-3}dx$

Integration of trigonometric and logarithmic terms

Integrating $\sin^4 x$ using Taylor series

Evaluate indefinite integral $\int \frac{\sqrt{x}+ 1}{\sqrt{x}-1} dx$

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