1
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Change Language
y = $$\int {\cos \left\{ {2{{\tan }^{ - 1}}\sqrt {{{1 - x} \over {1 + x}}} } \right\}} dx$$ is an equation of a family of
A
straight lines
B
circles
C
ellipses
D
parabolas
2
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The value of the integration

$$\int\limits_{ - {\pi \over 4}}^{\pi /4} {\left( {\lambda |\sin x| + {{\mu \sin x} \over {1 + \cos x}} + \gamma } \right)} dx$$
A
is independent of $$\lambda$$ only
B
is independent of $$\mu$$ only
C
is independent of $$\gamma$$ only
D
depends on $$\lambda$$, $$\mu$$ and $$\gamma$$
3
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The value of $$\mathop {\lim }\limits_{x \to 0} {1 \over x}\left[ {\int\limits_y^a {{e^{{{\sin }^2}t}}dt - } \int\limits_{x + y}^a {{e^{{{\sin }^2}t}}dt} } \right]$$ is equal to
A
$${{e^{{{\sin }^2}y}}}$$
B
$${{e^{{2{\sin }}y}}}$$
C
e| sin y|
D
$${e^{\cos e{c^2}y}}$$
4
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If $$\int {{2^{{2^x}}}.\,{2^x}dx} = A\,.\,{2^{{2^x}}} + C$$, then A is equal to
A
$${1 \over {\log 2}}$$
B
log 2
C
$${{{(\log 2)}^2}}$$
D
$${1 \over {{{(\log 2)}^2}}}$$
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