MCQs of સંકલન

Showing 351 to 360 out of 428 Questions

351.

\int_{0}^{π} [\cot x] d x

= _____

352.

\int e^{sinθ} (\log sinθ + {cosec}^{2} θ) cosθ d θ

= _____ + c

353.

\int 2^{x} (f' (x) + \log 2 f (x)) d x

= _____ + c

354.

\int \frac{\sin^{- 1} x}{\sqrt{1 + x}} d x

= _____ + c

355.

\int e^{\sqrt{x}} d x

= _____ + c

356.

\int x^{5} e^{x^{2}} d x = e^{x^{2}} f (x) + c

તો f(x) = _____

357.

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

તો k = _____

358.

\int \sin^{- 1} (3 x - 4 x^{3}) d x

= _____ + c જ્યાં 0 < x <

\frac{1}{2}

359.

જો

\frac{d}{d x}

f(x) = xcosx+sinx અને f(0) = 2 તો f(x) _____

360.

જો

I = \int e^{x} \sin x 2 x d x

તો k ની કઈ કિંમત માટે k

I = e^{x} (\sin 2 x - 2 \cos 2 x) + c

Showing 351 to 360 out of 428 Questions