List questions from trigonometric-integrals

Published on 15 Apr 2026 - 20:21

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How to calculate $\int_{0}^{\pi/3} \sqrt{\sec ^2 (x)} dx$?

Published on 12 Apr 2026 - 8:17

508

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How to understand the definition of an inverse substitution when finding the primitive function?

Published on 09 Apr 2026 - 23:51

81

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Explicit formula for $\int \text{sinc}(2 \pi x)^{2 k-1} \, \mathrm dx$?

Published on 14 Apr 2026 - 16:53

213

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On the integral $\int_0^{\frac{\pi}{2}}x^{2n+1}\cot(x)dx$

Published on 16 Apr 2026 - 3:19

1.5k

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Integration of $\sqrt{\sec x}$.

Published on 12 Apr 2026 - 11:48

500

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Find $\int^{\pi/2}_0 \frac{\sin^{n-2}(x)}{(1+\cos x)^n}\mathrm dx$

Published on 17 Apr 2026 - 9:57

319

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The limit of the maximum of a sum of sines

Published on 12 Apr 2026 - 6:04

163

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Prove that, $\int_{0}^{2\pi}\frac{\cos x+2}{5+4\cos x} dx=\pi$

Published on 17 Apr 2026 - 16:02

66

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Confusion regarding a definite integral in a solution

Published on 11 Apr 2026 - 20:54

128

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Integral of $\int_0^b \cos(x)\cos(\frac a x)dx$

Published on 16 Apr 2026 - 9:05

163

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u-sub vs trig-sub are giving different answers for $\int\frac{x+4}{x^2+2x+5}dx$

Published on 16 Apr 2026 - 13:16

311

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Find the smallest value of $f(x) := \left({1\over9}+{32\over \sin(x)}\right)\left({1\over32}+{9\over \cos(x)}\right)$ on the interval $(0,\pi/2)$

Published on 16 Apr 2026 - 7:40

145

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Prove $\int_{-\pi}^{\pi} \frac{dk}{2 \pi} \frac{\cos(nk)-1}{\cos(k)-1} = n$

Published on 17 Apr 2026 - 15:59

40

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Trig Vector Problem- Finding How fast the wind blows

Published on 11 Apr 2026 - 2:12

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$\int_{0}^{1} t^2 \sqrt{1+4t^2} dt$ plugging in limits assist

How to calculate $\int_{0}^{\pi/3} \sqrt{\sec ^2 (x)} dx$?

How to understand the definition of an inverse substitution when finding the primitive function?

Explicit formula for $\int \text{sinc}(2 \pi x)^{2 k-1} \, \mathrm dx$?

On the integral $\int_0^{\frac{\pi}{2}}x^{2n+1}\cot(x)dx$

Integration of $\sqrt{\sec x}$.

Find $\int^{\pi/2}_0 \frac{\sin^{n-2}(x)}{(1+\cos x)^n}\mathrm dx$

The limit of the maximum of a sum of sines

Prove that, $\int_{0}^{2\pi}\frac{\cos x+2}{5+4\cos x} dx=\pi$

Confusion regarding a definite integral in a solution

Integral of $\int_0^b \cos(x)\cos(\frac a x)dx$

u-sub vs trig-sub are giving different answers for $\int\frac{x+4}{x^2+2x+5}dx$

Find the smallest value of $f(x) := \left({1\over9}+{32\over \sin(x)}\right)\left({1\over32}+{9\over \cos(x)}\right)$ on the interval $(0,\pi/2)$

Prove $\int_{-\pi}^{\pi} \frac{dk}{2 \pi} \frac{\cos(nk)-1}{\cos(k)-1} = n$

Trig Vector Problem- Finding How fast the wind blows

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