MCQs of Integrals

Showing 371 to 380 out of 403 Questions

371.

\int \frac{\sin^{- 1} x}{\sqrt{1 + x}} dx =_____+ c

372.

\int e^{\sqrt{x}} dx =_____+ c

373.

\int x^{5} e^{x^{2}} dx = e^{x^{2}} f (x) + c, then f (x) =_____

374.

\int \frac{\sin^{- 1} x}{(1 - x^{2})^{\frac{3}{2}}} dx = \frac{x \sin^{- 1} x}{\sqrt{1 - x^{2}}} + k \log |1 - x^{2}| + c

then k=_____

375.

\int \sin^{- 1} (3 x - 4 x^{2}) dx =_____+ c

where

0 < x < \frac{1}{2}

376.

If integration of f(x) is e^x and integration of g(x) is cosx, then

\int f (x) cosx dx + \int g (x) e^{x} dx =_____+ c

377.

I = \int e^{x}

sin2x dx then for k=_____ k I= e^x (sinx-2cos 2x)+c

378.

I_{n} = \int (logx)^{x} dx

then I_n + n I_n-1 =_____

379.

\int e^{\frac{x}{2}} \sin (\frac{x}{2} + \frac{π}{4}) dx =_____+ c

380.

\int f (x) dx = g (x)

then

\int f (x) g (x) dx =

Showing 371 to 380 out of 403 Questions