1
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
The value of $$\int\limits_{ - 2}^3 {\left| {1 - {x^2}} \right|dx} $$ is
A
$${1 \over 3}$$
B
$${14 \over 3}$$
C
$${7 \over 3}$$
D
$${28 \over 3}$$
2
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
If $$\int\limits_0^\pi {xf\left( {\sin x} \right)dx = A\int\limits_0^{\pi /2} {f\left( {\sin x} \right)dx,} } $$ then $$A$$ is
A
$$2\pi $$
B
$$\pi $$
C
$${\pi \over 4}$$
D
$$0$$
3
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
If $$f\left( x \right) = {{{e^x}} \over {1 + {e^x}}},{I_1} = \int\limits_{f\left( { - a} \right)}^{f\left( a \right)} {xg\left\{ {x\left( {1 - x} \right)} \right\}dx} $$
and $${I_2} = \int\limits_{f\left( { - a} \right)}^{f\left( a \right)} {g\left\{ {x\left( {1 - x} \right)} \right\}dx} ,$$ then the value of $${{{I_2}} \over {{I_1}}}$$ is
A
$$1$$
B
$$-3$$
C
$$-1$$
D
$$2$$
4
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
The area of the region bounded by the curves
$$y = \left| {x - 2} \right|,x = 1,x = 3$$ and the $$x$$-axis is :
A
$$4$$
B
$$2$$
C
$$3$$
D
$$1$$
JEE Main Papers
2023
2021
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12