1
JEE Main 2022 (Online) 27th June Morning Shift
+4
-1

The value of the integral

$$\int\limits_{ - 2}^2 {{{|{x^3} + x|} \over {({e^{x|x|}} + 1)}}dx}$$ is equal to :

A
5e2
B
3e$$-$$2
C
4
D
6
2
JEE Main 2022 (Online) 26th June Evening Shift
+4
-1

The area of the region bounded by y2 = 8x and y2 = 16(3 $$-$$ x) is equal to:

A
$${{32} \over 3}$$
B
$${{40} \over 3}$$
C
16
D
19
3
JEE Main 2022 (Online) 26th June Morning Shift
+4
-1

The area bounded by the curve y = |x2 $$-$$ 9| and the line y = 3 is :

A
$$4(2\sqrt 3 + \sqrt 6 - 4)$$
B
$$4(4\sqrt 3 + \sqrt 6 - 4)$$
C
$$8(4\sqrt 3 + 3\sqrt 6 - 9)$$
D
$$8(4\sqrt 3 + \sqrt 6 - 9)$$
4
JEE Main 2022 (Online) 25th June Evening Shift
+4
-1

The area of the region enclosed between the parabolas y2 = 2x $$-$$ 1 and y2 = 4x $$-$$ 3 is

A
$${1 \over {3}}$$
B
$${1 \over {6}}$$
C
$${2 \over {3}}$$
D
$${3 \over {4}}$$
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Physics
Mechanics
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Optics
Modern Physics
Chemistry
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