List questions from indefinite-integrals

Published on 16 Apr 2026 - 10:52

53

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How to evaluate this integral for variable $a$?

Published on 09 Apr 2026 - 19:38

148

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Proof of Liouville's Principle.

Published on 08 Apr 2026 - 16:23

1.8k

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How to Integrate $ \int \sin^2x\cos\ x \ dx $ without substitution

Published on 12 Apr 2026 - 11:30

64

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Integral of $\int_{1}^{x} \frac{1}{t^2+4}dt$.

Published on 15 Apr 2026 - 19:59

78

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Integral and trig substitution

Published on 12 Apr 2026 - 3:15

609

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How to use the Constant Multiple Rule in integration

Published on 09 Apr 2026 - 9:50

44

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$\partial_\rho\bigg (\int_0^{\infty} \frac{\rho_0^2 J_1(q \rho_0)}{(a^2+(\rho_0-\rho)^2)^{\frac{5}{2}}} d\rho_0 \bigg)$

Published on 16 Apr 2026 - 12:54

179

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Indefinite integral $\int \Phi(x^2) \cdot \phi(x) \,dx$

Published on 16 Apr 2026 - 19:35

240

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Difficult Integral involving $\tan^2x$

Published on 08 Apr 2026 - 1:35

53

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How to reach the desired answer?

Published on 15 Apr 2026 - 4:08

214

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Indefinite Integral: $\int sec^{n}x dx$

Published on 15 Apr 2026 - 23:28

44

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Inverse Trig Integration Resulting in $\sec^{-1}|x|$

Published on 13 Apr 2026 - 13:21

59

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Why doesn’t this integration method work?

Published on 11 Apr 2026 - 18:08

29

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If $X= \int_0^X dt$, why is it that: $X^a= a \int_0^X t^{a-1} dt$

Published on 16 Apr 2026 - 2:35

List Question

Calculate the integral $\int\frac{dx}{(x+1)\sqrt{x^2+x+1}}$

How to evaluate this integral for variable $a$?

Proof of Liouville's Principle.

How to Integrate $ \int \sin^2x\cos\ x \ dx $ without substitution

Integral of $\int_{1}^{x} \frac{1}{t^2+4}dt$.

Integral and trig substitution

How to use the Constant Multiple Rule in integration

$\partial_\rho\bigg (\int_0^{\infty} \frac{\rho_0^2 J_1(q \rho_0)}{(a^2+(\rho_0-\rho)^2)^{\frac{5}{2}}} d\rho_0 \bigg)$

Indefinite integral $\int \Phi(x^2) \cdot \phi(x) \,dx$

Difficult Integral involving $\tan^2x$

How to reach the desired answer?

Indefinite Integral: $\int sec^{n}x dx$

Inverse Trig Integration Resulting in $\sec^{-1}|x|$

Why doesn’t this integration method work?

If $X= \int_0^X dt$, why is it that: $X^a= a \int_0^X t^{a-1} dt$

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