Question

How to solve the integral $\int \frac{1}{x^{8}\left(1+x^{2}\right)} \ \mathrm{d} x$?

score 81 · Answer 1 · 2026-04-16 05:17:35

81

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How to solve the integral $\int \frac{1}{x^{8}\left(1+x^{2}\right)} \ \mathrm{d} x$?

Published on 16 Apr 2026 - 5:17

score 79 · Answer 2 · 2026-04-16 19:30:08

79

Views

How to solve the indefinite integral $\int \frac{x^{1 / 7}+x^{1 / 2}}{x^{8 / 7}+x^{1 / 14}} \ \mathrm{d} x$?

Published on 16 Apr 2026 - 19:30

score 44 · Answer 3 · 2026-04-10 20:59:18

44

Views

Definite integral is an antiderivative of?

Published on 10 Apr 2026 - 20:59

score 78 · Answer 4 · 2026-04-15 17:22:49

78

Views

What is the formal definition of the symbol $\int f(x)\,dx$?

Published on 15 Apr 2026 - 17:22

score 27 · Answer 5 · 2026-04-16 20:47:20

27

Views

Deriving integral expression with multiple components

Published on 16 Apr 2026 - 20:47

score 133 · Answer 6 · 2026-04-13 20:34:43

133

Views

How does one evaluate $\int {e^{x^n}}dx$, where $n$ is a natural number?

Published on 13 Apr 2026 - 20:34

score 46 · Answer 7 · 2026-04-09 13:50:18

46

Views

Understanding change of variables

Published on 09 Apr 2026 - 13:50

score 243 · Answer 8 · 2026-04-17 05:35:30

243

Views

show that : $\int \sqrt{a^2-x^2}dx = \frac{1}{2}x\sqrt{a^2-x^2} + \frac{1}{2}a^2 \arcsin(\frac{x}{a}) + C \ (a > 0)$

Published on 17 Apr 2026 - 5:35

score 65 · Answer 9 · 2026-04-17 13:38:17

65

Views

Compute the desired area

Published on 17 Apr 2026 - 13:38

score 226 · Answer 10 · 2026-04-08 17:58:14

226

Views

How to perform this Gaussian integral / sum of series?

Published on 08 Apr 2026 - 17:58

score 290 · Answer 11 · 2026-04-15 17:20:47

290

Views

Completely stuck at integrating $\int x\sqrt{\cos x}\,dx$

Published on 15 Apr 2026 - 17:20

score 134 · Answer 12 · 2026-04-16 09:07:36

134

Views

Integration of $\int \sqrt\frac{x-1}{x^5}\ dx$?

Published on 16 Apr 2026 - 9:07

score 104 · Answer 13 · 2026-04-15 16:08:51

104

Views

Simplification of integral $\int \frac{\sqrt{9-w^2}}{w^2} dw$

Published on 15 Apr 2026 - 16:08

score 54 · Answer 14 · 2026-04-17 14:36:50

54

Views

Evaluate $\int \frac{1}{\log^2(x)+\log(x)} dx$

Published on 17 Apr 2026 - 14:36

score 266 · Answer 15 · 2026-04-13 12:37:46

266

Views

Derivative of indefinite integral

Published on 13 Apr 2026 - 12:37

List Question

How to solve the integral $\int \frac{1}{x^{8}\left(1+x^{2}\right)} \ \mathrm{d} x$?

How to solve the indefinite integral $\int \frac{x^{1 / 7}+x^{1 / 2}}{x^{8 / 7}+x^{1 / 14}} \ \mathrm{d} x$?

Definite integral is an antiderivative of?

What is the formal definition of the symbol $\int f(x)\,dx$?

Deriving integral expression with multiple components

How does one evaluate $\int {e^{x^n}}dx$, where $n$ is a natural number?

Understanding change of variables

show that : $\int \sqrt{a^2-x^2}dx = \frac{1}{2}x\sqrt{a^2-x^2} + \frac{1}{2}a^2 \arcsin(\frac{x}{a}) + C \ (a > 0)$

Compute the desired area

How to perform this Gaussian integral / sum of series?

Completely stuck at integrating $\int x\sqrt{\cos x}\,dx$

Integration of $\int \sqrt\frac{x-1}{x^5}\ dx$?

Simplification of integral $\int \frac{\sqrt{9-w^2}}{w^2} dw$

Evaluate $\int \frac{1}{\log^2(x)+\log(x)} dx$

Derivative of indefinite integral

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