MCQs of Integrals

Showing 201 to 210 out of 403 Questions

201.

\int_{a}^{b} \frac{x}{|x|} d x

= _____ where a < b < 0

202.

\int_{- 2}^{2} |[x]|

= _____

203.

If f is odd function and

\int_{0}^{2} f (x) d x = 5

then

\int_{- 2}^{0} f (x) d x

= _____

204.

\int_{1}^{5} [|x - 3|] d x

= _____

205.

\int_{2}^{4} \log [x] d x

= _____

206.

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

= _____

207.

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

= _____

208.

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

= _____ where a < 1

209.

\int_{0}^{π} \frac{d x}{5 + 3 \cos x}

= _____

210.

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

then k = _____

Showing 201 to 210 out of 403 Questions