1
WB JEE 2009
+1
-0.25

If $$f(x) = f(a - x)$$, then $$\int\limits_0^a {xf(x)dx}$$ is equal to

A
$$\int\limits_0^a {f(x)dx}$$
B
$${{{a^2}} \over 2}\int\limits_0^a {f(x)dx}$$
C
$${a \over 2}\int\limits_0^a {f(x)dx}$$
D
$$- {a \over 2}\int\limits_0^a {f(x)dx}$$
2
WB JEE 2009
+1
-0.25

The value of $$\int\limits_0^\infty {{{dx} \over {({x^2} + 4)({x^2} + 9)}}}$$ is

A
$${\pi \over {60}}$$
B
$${\pi \over {20}}$$
C
$${\pi \over {40}}$$
D
$${\pi \over {80}}$$
3
WB JEE 2009
+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
$${I_2} = {I_1} + \pi /4$$
4
WB JEE 2009
+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
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
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