MCQs of Integrals

Showing 211 to 220 out of 403 Questions

211.

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

dx = _____

212.

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

then I₈ + I₆ = _____

213.

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

214.

\int_{0}^{π} \frac{\sin 4 x}{\sin x}

dx = _____

215.

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

= _____

216.

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

= _____

217.

\int_{0}^{4014} \frac{2^{x}}{2^{x} + 2^{4014 - x}} d x

= _____

218.

\int_{0}^{\frac{π}{2}} \frac{2008^{\sin x}}{2008^{\sin x} + 2008^{\cos x}} d x

= _____

219.

\int_{π}^{\frac{3 π}{2}} (\frac{5 π}{2} x - x^{2}) \cos 2 x d x

= _____

220.

If f(x) is odd function then

\int_{- \frac{π}{2}}^{\frac{π}{2}} f (\cos x) d x

= _____

Showing 211 to 220 out of 403 Questions