MCQs of Integrals

Showing 201 to 210 out of 421 Questions

201.

k \int_{0}^{1} x f (3 x) d x = \int_{0}^{3} t f (t) d t

then k = _____

202.

\int_{0}^{3} |x^{3} + x^{2} + 3 x| d x

203.

\int_{0}^{\frac{π}{4}} \sin (x - [x]) d (x - [x])

= _____

204.

\int_{0}^{x} f (t) d t = x \cos π x, t h e n f (3)

= _____

205.

For non zero real numbers a, b, and c

\int_{0}^{3} (3 a x^{2} + 2 b x + c) d x = \int_{1}^{3} (3 a x^{2} + 2 b x + c) d x

then

206.

\int_{a}^{b} \frac{x}{|x|} d x

= _____ where a < b < 0

207.

\int_{- 2}^{2} |[x]|

= _____

208.

If f is odd function and

\int_{0}^{2} f (x) d x = 5

then

\int_{- 2}^{0} f (x) d x

= _____

209.

\int_{1}^{5} [|x - 3|] d x

= _____

210.

\int_{2}^{4} \log [x] d x

= _____

Showing 201 to 210 out of 421 Questions