MCQs of Integrals

Showing 241 to 250 out of 403 Questions

241.

\underset{x \to 0}{l i m} \frac{\int_{0}^{x^{2}} s e c^{2} t d t}{x \sin x}

= _____

242.

The value of

\int_{- 2}^{3} |1 - x^{2}| d x

243.

The value of

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

244.

The value of integral,

\int_{3}^{6} \frac{\sqrt{x}}{\sqrt{9 - x} + \sqrt{x}} d x

245.

\int_{0}^{π} x f (\sin x) d x

is equal to

246.

\int_{\frac{- 3 π}{2}}^{\frac{- π}{2}} [(x + π)^{3} + \cos^{2} (x + 3 π)] d x

is equal to

247.

The solution for x of the equation

\int_{\sqrt{2}}^{x} \frac{d t}{t \sqrt{t^{2} - 1}} = \frac{π}{2}

248.

\int e^{x} (\cos^{2} x - \sin^{2} x) d x

= _____ + c

249.

\int \frac{3 + \log x}{{(4 + \log x)}^{2}} d x

= _____ + c

250.

\int \frac{e^{c o t^{- 1} x}}{1 + x^{2}} (1 - x + x^{2}) d x

= _____ + c

Showing 241 to 250 out of 403 Questions