1
WB JEE 2021
+1
-0.25
The value of $$\int\limits_0^5 {\max \{ {x^2},6x - 8\} \,dx}$$ is
A
72
B
125
C
43
D
69
2
WB JEE 2021
+2
-0.5
Let f(x) be continuous periodic function with period T. Let $$I = \int\limits_a^{a + T} {f(x)\,dx}$$. Then
A
I is linear function in 'a'
B
I does not depend on 'a'
C
0 < I < a2 + 1 where I depends on 'a'
D
I is quadratic function in 'a'
3
WB JEE 2021
+2
-0.5
If $$b = \int\limits_0^1 {{{{e^t}} \over {t + 1}}dt}$$, then $$\int\limits_{a - 1}^a {{{{e^{ - t}}} \over {t - a - 1}}}$$ is
A
bea
B
be$$-$$a
C
$$-$$ be$$-$$a
D
$$-$$ bea
4
WB JEE 2021
+2
-0.5
Let $$I = \int_{\pi /4}^{\pi /3} {{{\sin x} \over x}dx}$$. Then
A
$${{\sqrt 3 } \over 8} \le I \le {{\sqrt 2 } \over 6}$$
B
$${{\sqrt 3 } \over {2\pi }} \le I \le {{2\sqrt 3 } \over \pi }$$
C
$${{\sqrt 3 } \over 9} \le I \le {{\sqrt 2 } \over {16}}$$
D
$$\pi \le I \le {{4\pi } \over 3}$$
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
EXAM MAP
Joint Entrance Examination