MCQs of સંકલન

Showing 21 to 30 out of 440 Questions

21.

\int_{0}^{\sqrt{2}} \sqrt{2 - x^{2}} d x =____

22.

\int (l o g x + \frac{1}{x^{2}}) e^{x} d x

= ____ + c

23.

\int_{0}^{2 a} \frac{f (x) d x}{f (x) + f (2 a - x)} =_____

24.

\int_{0}^{π} s i n^{3} x c o s^{3} x d x =_____

25.

\int (\frac{x - 1}{x^{2}}) e^{x} d x

= ____ + c

26.

જો

\int_{2}^{k} (2 x + 1) d x = 6

, તો k = _____ .

27.

\int_{0}^{1} \frac{d x}{x + \sqrt{x}} =_____

28.

\int (x^{6} + 7 x^{5} + 6 x^{4} + 5 x^{3} + 4 x^{2} + 3 x + 1) e^{x} d x

=_____ + c

29.

જો

\int_{0}^{\frac{π}{3}} \frac{c o s x}{3 + 4 s i n x} d x = k \log (\frac{3 + 2 \sqrt{3}}{3})

, તો k = _____ .

30.

\int_{1}^{k} f (x) dx = 47, f (x) = \{\begin{cases} 2 x + 8 & 1 \leq x \leq 2 \\ 6 x & 2 \leq x \leq k \end{cases}

, તો k = _____ .

Showing 21 to 30 out of 440 Questions