1
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If $$\int {\cos x\log \left( {\tan {x \over 2}} \right)} dx$$ = $$\sin x\log \left( {\tan {x \over 2}} \right)$$ + f(x), then f(x) is equal to (assuming c is a arbitrary real constant).
A
c
B
c $$-$$ x
C
c + x
D
2x + c
2
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
3
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
$${1 \over {{{(\log 2)}^2}}}$$
4
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If $$\int {{e^{\sin x}}} .\left[ {{{x{{\cos }^3}x - \sin x} \over {{{\cos }^2}x}}} \right]dx = {e^{\sin x}}f(x) + c$$, where c is constant of integration, then f(x) is equal to
A
sec x $$-$$ x
B
x $$-$$ sec x
C
tan x $$-$$ x
D
x $$-$$ tan x
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