1
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

$$\int\limits_{ - \pi /2}^{\pi /2} {{{\sin }^9}x{{\cos }^5}x\,dx} $$ equals

A
$${1 \over {20}}$$
B
20
C
0
D
$${1 \over {330}}$$
2
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

If $$I = \int\limits_{ - \pi }^\pi {{{{e^{\sin x}}} \over {{e^{\sin x}} + {e^{ - \sin x}}}}dx} $$, then I equals

A
$$\pi$$/2
B
2$$\pi$$
C
$$\pi$$
D
$$\pi$$/4
3
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

If $$h(x) = \int\limits_0^x {{{\sin }^4}t\,dt} $$, then $$h(x + \pi )$$ equals

A
$${{h(x)} \over {h(\pi )}}$$
B
$$h(x)h(\pi )$$
C
$$h(x) - h(\pi )$$
D
$$h(x) + h(\pi )$$
4
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

The value of the integral $$\int\limits_0^2 {|{x^2} - 1|dx} $$ is

A
0
B
2
C
$$-$$1/3
D
$$-$$2
WB JEE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12