MCQs of Integrals

Showing 311 to 320 out of 421 Questions

311.

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

= _____.

312.

\int_{0}^{\frac{π}{3}} \frac{\cos x}{1 + \sin x} d x = k \log (\frac{\sqrt{3} + 1}{2})

then k = _____

313.

\int_{0}^{1} {(1 - x)}^{n} d x

= _____, n≠-1

314.

If f(x)=x- [x], x ∈ R, then

\int_{- 1}^{1} f (x) d x

= _____

315.

\int_{\frac{π}{2}}^{\frac{3 π}{2}} [2 \sin x] d x

= _____

316.

\int_{- 1}^{1} \sin^{3} x \cos^{4} x d x

= _____

317.

\int_{1}^{\frac{40}{3}} ({cosec}^{- 1} x + \sec^{- 1} x) d x

= _____,

|x| > 1

318.

If f(x)is an even function and

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

then

\int_{0}^{a} f (x) d x

= _____ .

319.

\int_{0}^{\frac{π}{4}} \sec x d x

= _____

320.

\int_{n}^{n + 1} f (x) d x = n^{3}

then

\int_{- 3}^{3} f (x) d x

= _____ .

Showing 311 to 320 out of 421 Questions