1
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If $$\int\limits_{{{\log }_e}2}^x {{{({e^x} - 1)}^{ - 1}}dx = {{\log }_e}{3 \over 2}} $$, then the value of x is
A
1
B
e2
C
log 4
D
$${1 \over e}$$
2
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The value of $$\int\limits_0^5 {\max \{ {x^2},6x - 8\} \,dx} $$ is
A
72
B
125
C
43
D
69
3
WB JEE 2021
MCQ (Single Correct Answer)
+2
-0.5
Change Language
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'
4
WB JEE 2021
MCQ (Single Correct Answer)
+2
-0.5
Change Language
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
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