1
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

If $${I_1} = \int\limits_0^{\pi /4} {{{\sin }^2}xdx} $$ and $${I_2} = \int\limits_0^{\pi /4} {{{\cos }^2}xdx} $$, then

A
$${I_1} = {I_2}$$
B
$${I_1} < {I_2}$$
C
$${I_1} > {I_2}$$
D
$${I_2} = {I_1} + \pi /4$$
2
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

$$\int\limits_{ - 1}^4 {f(x)dx = 4} $$ and $$\int\limits_2^4 {\{ 3 - f(x)\} dx = 7} $$, then the value of $$\int\limits_{ - 1}^2 {f(x)dx} $$ is

A
$$-$$2
B
3
C
4
D
5
3
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

$$\int\limits_0^{1000} {{e^{x - [x]}}dx} $$ is equal to

A
$${{{e^{1000}} - 1} \over {e - 1}}$$
B
$${{{e^{1000}} - 1} \over {1000}}$$
C
$${{e - 1} \over {1000}}$$
D
1000 (e $$-$$ 1)
4
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

The value of the integral $$\int\limits_0^{\pi /2} {{{\sin }^5}xdx} $$ is

A
$${4 \over {15}}$$
B
$${8 \over {5}}$$
C
$${8 \over {15}}$$
D
$${4 \over {5}}$$
WB JEE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12