Question

Why cant $\int (1-x^2)^{3/2} dx$ be substituted by $z=1-x^2$?

score 62 · Answer 1 · 2026-04-16 22:10:47

62

Views

Why cant $\int (1-x^2)^{3/2} dx$ be substituted by $z=1-x^2$?

Published on 16 Apr 2026 - 22:10

score 106 · Answer 2 · 2026-04-17 09:26:36

106

Views

Integral of $\int \frac{1}{x^2(x^4+1)^{3/2}}dx$

Published on 17 Apr 2026 - 9:26

score 205 · Answer 3 · 2026-04-17 11:35:32

205

Views

Integrate $\int\frac{\sin(2x)}{2+\cos x} dx$

Published on 17 Apr 2026 - 11:35

score 127 · Answer 4 · 2026-04-16 21:33:43

127

Views

How to solve this integral? $I=\int{e^x \Big(2\log x+\frac{1}{x}+\frac{1}{x^2}\Big)dx}$

Published on 16 Apr 2026 - 21:33

score 175 · Answer 5 · 2026-04-16 16:53:02

175

Views

Integrate $I= \int \frac{x^2 -1}{x\sqrt{1+ x^4}}\,\mathrm d x$

Published on 16 Apr 2026 - 16:53

score 221 · Answer 6 · 2026-04-16 00:15:37

221

Views

Evaluating the integral $\int \sqrt{1 + \frac{1}{x^2}} dx$

Published on 16 Apr 2026 - 0:15

score 427 · Answer 7 · 2026-04-15 18:37:19

427

Views

How to find the indefinite integral for $\int \frac{x^2}{\sqrt{r^2 - x^2}}dx$?

Published on 15 Apr 2026 - 18:37

score 87 · Answer 8 · 2026-03-26 04:55:47

87

Views

Where to show my work on integrals?

Published on 26 Mar 2026 - 4:55

score 132 · Answer 9 · 2026-04-17 06:19:36

132

Views

Evaluate $\int_0 ^x \frac{\sin\left(\frac{1}{2}-n\right) t}{\sin\frac{t}{2}}\,dt$.

Published on 17 Apr 2026 - 6:19

score 83 · Answer 10 · 2026-04-15 08:44:34

83

Views

definite integral $\int_0^\infty\frac{r^3}{(r^2+d^2)^3} dr$

Published on 15 Apr 2026 - 8:44

score 189 · Answer 11 · 2026-04-15 17:46:43

189

Views

Evaluate $\int\frac{da}{a\sqrt{a+1}}$

Published on 15 Apr 2026 - 17:46

score 88 · Answer 12 · 2026-04-10 04:10:03

88

Views

How to reduce nonelementary integral for volume of intersecting cylinders into a function?

Published on 10 Apr 2026 - 4:10

score 722 · Answer 13 · 2026-04-14 04:33:24

722

Views

The integration formula of $\int \sin^n{x}\cos^{m}{x}\ dx$.

Published on 14 Apr 2026 - 4:33

score 172 · Answer 14 · 2026-04-11 16:18:14

172

Views

Finding the antiderivative of the product of two functions given only their derivative properties

Published on 11 Apr 2026 - 16:18

score 55 · Answer 15 · 2026-04-08 16:19:12

55

Views

determining an integral using only derivative properties of two functions

Published on 08 Apr 2026 - 16:19

List Question

Why cant $\int (1-x^2)^{3/2} dx$ be substituted by $z=1-x^2$?

Integral of $\int \frac{1}{x^2(x^4+1)^{3/2}}dx$

Integrate $\int\frac{\sin(2x)}{2+\cos x} dx$

How to solve this integral? $I=\int{e^x \Big(2\log x+\frac{1}{x}+\frac{1}{x^2}\Big)dx}$

Integrate $I= \int \frac{x^2 -1}{x\sqrt{1+ x^4}}\,\mathrm d x$

Evaluating the integral $\int \sqrt{1 + \frac{1}{x^2}} dx$

How to find the indefinite integral for $\int \frac{x^2}{\sqrt{r^2 - x^2}}dx$?

Where to show my work on integrals?

Evaluate $\int_0 ^x \frac{\sin\left(\frac{1}{2}-n\right) t}{\sin\frac{t}{2}}\,dt$.

definite integral $\int_0^\infty\frac{r^3}{(r^2+d^2)^3} dr$

Evaluate $\int\frac{da}{a\sqrt{a+1}}$

How to reduce nonelementary integral for volume of intersecting cylinders into a function?

The integration formula of $\int \sin^n{x}\cos^{m}{x}\ dx$.

Finding the antiderivative of the product of two functions given only their derivative properties

determining an integral using only derivative properties of two functions

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