List questions from trigonometric-integrals | MathQa

Integrate $\int\Big(\sqrt{4x^2+9-4x}\Big)^3\,dx$ by using trigonometric substitution.

Published on 13 Jan 2025 - 0:05

How to Evaluate this Integral $\int \frac{\cos 6x+\cos 8x}{1+2\cos 5x}dx$?

Published on 12 Jan 2025 - 10:01

Evaluate improper integral $\int_0^{\pi/2}(\sec^2x-\sec x \tan x)dx$

Published on 12 Jan 2025 - 10:01

Evaluation of $\int \limits _0 ^{2 \pi} \frac {(r \cos \phi +x) \cos n\phi} {r^2+2xr \cos \phi +x^2} d\phi$

Published on 12 Jan 2025 - 10:01

Prove that $\int_{0}^{\pi}\frac{r}{1-2r\cos x+r^2}dx=\int_{0}^{\pi}\frac{\cos x}{1-2r\cos x+r^2}dx$

Published on 12 Jan 2025 - 10:01

Tough definite integral: $\int_0^\frac{\pi}{2}x\ln^2(\sin x)~dx$

Published on 12 Jan 2025 - 10:01

Problem with Indefinite Integral $\int\frac {\cos^4x}{\sin^3x} dx$

Published on 12 Jan 2025 - 10:00

Integral of $\int \frac{\sin(3x)}{\sin(5x)} \, dx$

Published on 12 Jan 2025 - 10:00

Calculating $\int_0^\infty \frac{\sin(x)}{x} \frac{\sin(x / 3)}{x / 3} \frac{\sin(x / 5)}{x / 5} \cdots \frac{\sin(x / 15)}{x / 15} \ dx$

Published on 12 Jan 2025 - 10:01

Calculating $\int_0^{\pi/2} (x \sin x)^n dx$

Published on 12 Jan 2025 - 10:00