Question

Simplifying the integral $\int \frac{x^2-1}{x^2+1}\cdot \frac{1}{\sqrt{1+x^4}}dx$.

score 66 · Answer 1 · 2026-04-17 12:30:34

66

Views

Simplifying the integral $\int \frac{x^2-1}{x^2+1}\cdot \frac{1}{\sqrt{1+x^4}}dx$.

Published on 17 Apr 2026 - 12:30

score 127 · Answer 2 · 2026-04-12 03:55:58

127

Views

Integral involving Airy functions and exponential

Published on 12 Apr 2026 - 3:55

score 370 · Answer 3 · 2026-04-14 23:19:45

370

Views

Integral of $1/\cos^2 x$

Published on 14 Apr 2026 - 23:19

score 43 · Answer 4 · 2026-04-10 23:27:45

43

Views

Given a finite-duration continuous function $q(t) = \int_{-\infty}^t h(u)\,du$, Could $h(t)$ be discontinuous? Has $h(t)$ to be of compact-supported?

Published on 10 Apr 2026 - 23:27

score 64 · Answer 5 · 2026-04-13 13:01:37

64

Views

Explicit elementary primitive (integral) of $x / \sqrt{P(x)}$ and Galois group of $P$

Published on 13 Apr 2026 - 13:01

score 50 · Answer 6 · 2026-04-16 08:06:53

50

Views

How do I find $\frac{\mathrm{d}}{\mathrm{d}x} \int_{x}^{\infty} f(t, x) \mathrm{d} t$?

Published on 16 Apr 2026 - 8:06

score 4.5k · Answer 7 · 2026-04-13 12:54:03

4.5k

Views

Taking constants out of indefinite integrals

Published on 13 Apr 2026 - 12:54

score 135 · Answer 8 · 2026-04-14 13:30:35

135

Views

The function $f(x) = x^3-4a^2x$ has primitive function $F(x)$ . Find the constant $a$ so that $F(x)$ has the minimum value $0$ and $F(2)=4$.

Published on 14 Apr 2026 - 13:30

score 153 · Answer 9 · 2026-04-17 14:38:25

153

Views

Evaluating an improper integral using the Residue Theorem

Published on 17 Apr 2026 - 14:38

score 68 · Answer 10 · 2026-04-11 12:36:10

68

Views

How to solve this nonlinear diff eq of celestial mechanics?

Published on 11 Apr 2026 - 12:36

score 179 · Answer 11 · 2026-05-05 18:42:19

179

Views

Evaluate $\int _{ }^{ }\frac{1}{\sqrt{1+x^3}}dx$

Published on 05 May 2026 - 18:42

score 73 · Answer 12 · 2026-04-17 00:21:06

73

Views

Calculating integrals of the form $\int\frac{dx}{(1+x^{q})^\frac{p}{r}}$

Published on 17 Apr 2026 - 0:21

score 115 · Answer 13 · 2026-04-15 00:00:36

I have an equation derived from Ising model for the correlation distance. Is there a way to rewrite this integral to make in manageable?

score 107 · Answer 14 · 2026-04-16 06:13:45

107

Views

Trying to evaluate $\int \frac{1}{\sin(x)\cos^3(x)} \,dx$ and got stuck

Published on 16 Apr 2026 - 6:13

score 115 · Answer 15 · 2026-04-15 18:48:42

115

Views

Solving $xy’’’+(1-m)y’’+2y=0,y=y(x)$ to prove hypergeometric representation of Abramowitz function from NIST.gov

Published on 15 Apr 2026 - 18:48

List Question

Simplifying the integral $\int \frac{x^2-1}{x^2+1}\cdot \frac{1}{\sqrt{1+x^4}}dx$.

Integral involving Airy functions and exponential

Integral of $1/\cos^2 x$

Given a finite-duration continuous function $q(t) = \int_{-\infty}^t h(u)\,du$, Could $h(t)$ be discontinuous? Has $h(t)$ to be of compact-supported?

Explicit elementary primitive (integral) of $x / \sqrt{P(x)}$ and Galois group of $P$

How do I find $\frac{\mathrm{d}}{\mathrm{d}x} \int_{x}^{\infty} f(t, x) \mathrm{d} t$?

Taking constants out of indefinite integrals

The function $f(x) = x^3-4a^2x$ has primitive function $F(x)$ . Find the constant $a$ so that $F(x)$ has the minimum value $0$ and $F(2)=4$.

Evaluating an improper integral using the Residue Theorem

How to solve this nonlinear diff eq of celestial mechanics?

Evaluate $\int _{ }^{ }\frac{1}{\sqrt{1+x^3}}dx$

Calculating integrals of the form $\int\frac{dx}{(1+x^{q})^\frac{p}{r}}$

I have an equation derived from Ising model for the correlation distance. Is there a way to rewrite this integral to make in manageable?

Trying to evaluate $\int \frac{1}{\sin(x)\cos^3(x)} \,dx$ and got stuck

Solving $xy’’’+(1-m)y’’+2y=0,y=y(x)$ to prove hypergeometric representation of Abramowitz function from NIST.gov

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