MCQs of Integrals

Showing 321 to 330 out of 421 Questions

321.

\int_{- 1}^{2} x \cdot |x| d x

= _____

322.

\int_{0}^{2 π} \sqrt{1 + \sin \frac{x}{2}} d x

= _____ .

323.

\int_{0}^{2 π} \cos^{3} x \sin^{5} x d x

= _____ (where [x] = largest integer not greater than x.)

324.

\int_{a}^{a + 1} |a - x| d x

= _____ (a ∈ N)

325.

\int_{0}^{\frac{π}{3}} \tan^{4} x \cot^{2} x d x

= _____ .

326.

\int_{1}^{2} \frac{\sqrt{x}}{\sqrt{3 - x} + \sqrt{x}} d x

= _____ .

327.

\int_{0}^{4026} \frac{e^{x}}{e^{x} + e^{4026 - x}} d x

= _____ .

328.

I_{n} = \int_{\frac{π}{4}}^{\frac{π}{2}} c o t^{n} x d x

then

100 (I_{99} + I_{101})

= _____ .

329.

\int_{- e}^{e} \log (\frac{e^{5} - x^{5}}{e^{5} + x^{5}}) d x

= _____

330.

\int_{\frac{π}{8}}^{\frac{3 π}{8}} \frac{1}{1 + \sqrt{\tan x}} d x

= _____

Showing 321 to 330 out of 421 Questions