MCQs of સંકલન

Showing 311 to 320 out of 428 Questions

311.

\int_{1}^{e} 10^{\log_{e} x} d x

= _____

312.

\int_{0}^{π} \frac{d x}{1 - 2 a \cos x + a^{2}}

= _____ જ્યાં a < 1

313.

\int_{0}^{π} \frac{d x}{5 + 3 \cos x}

= _____

314.

જો

\int_{0}^{\frac{π}{3}} \frac{\cos x}{3 + 4 \sin x} d x = k \log (\frac{3 + 2 \sqrt{3}}{3})

તો k = _____

315.

\int_{0}^{\infty} \frac{1}{1 + e^{x}} d x

= _____

316.

જો

I_{n} = \int_{0}^{\frac{π}{4}} \tan^{n} θ d θ

તો I₈ + I₆ = _____

317.

\int_{0}^{π} \cos^{2} x \cos^{3} (2 n + 1) x d x

= _____, n ∈ z

318.

\int_{0}^{π} \frac{\sin 4 x}{\sin x} d x

= _____

319.

\int_{0}^{π} e^{\sin^{2} x} \cos^{3} x d x

= _____

320.

\int_{0}^{π / 2} \frac{(\sin x)^{2006}}{(\sin x)^{2006} + (\cos x)^{2006}} d x

= _____

Showing 311 to 320 out of 428 Questions