MCQs of Integrals

Showing 301 to 310 out of 403 Questions

301.

\int_{1}^{k} (3 x^{2} - 2 x) d x = 48

then k = _____

302.

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

= _____.

303.

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

then k = _____

304.

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

= _____, n≠-1

305.

If f(x)=x- [x], x ∈ R, then

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

= _____

306.

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

= _____

307.

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

= _____

308.

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

= _____,

|x| > 1

309.

If f(x)is an even function and

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

then

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

= _____ .

310.

\int_{0}^{\frac{π}{4}} \sec x d x

= _____

Showing 301 to 310 out of 403 Questions