MCQs of Integrals

Showing 211 to 220 out of 421 Questions

211.

\int_{\frac{1}{e}}^{e} |\log x| d x

= _____

212.

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

= _____

213.

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

= _____ where a < 1

214.

\int_{0}^{π} \frac{d x}{5 + 3 \cos x}

= _____

215.

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

then k = _____

216.

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

dx = _____

217.

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

then I₈ + I₆ = _____

218.

\int_{0}^{π} \cos^{2} x \cos^{3} (2 n + 1) x d x =_____, n \in z

219.

\int_{0}^{π} \frac{\sin 4 x}{\sin x}

dx = _____

220.

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

= _____

Showing 211 to 220 out of 421 Questions