1
JEE Main 2019 (Online) 9th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If   $$\int\limits_0^{{\pi \over 3}} {{{\tan \theta } \over {\sqrt {2k\,\sec \theta } }}} \,d\theta = 1 - {1 \over {\sqrt 2 }},\left( {k > 0} \right),$$ then value of k is :
A
4
B
$${1 \over 2}$$
C
1
D
2
2
JEE Main 2019 (Online) 9th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The value of $$\int\limits_0^\pi {{{\left| {\cos x} \right|}^3}} \,dx$$ is :
A
$$4 \over 3$$
B
$$-$$ $$4 \over 3$$
C
0
D
$$2 \over 3$$
3
JEE Main 2018 (Online) 16th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If $$f(x) = \int\limits_0^x {t\left( {\sin x - \sin t} \right)dt\,\,\,} $$ then :
A
f'''(x) + f''(x) = sinx
B
f'''(x) + f''(x) $$-$$ f'(x) = cosx
C
f'''(x) + f'(x) = cosx $$-$$ 2x sinx
D
f'''(x) $$-$$ f''(x) = cosx $$-$$ 2x sinx
4
JEE Main 2018 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
The value of $$\int\limits_{ - \pi /2}^{\pi /2} {{{{{\sin }^2}x} \over {1 + {2^x}}}} dx$$ is
A
$${\pi \over 4}$$
B
$${\pi \over 8}$$
C
$${\pi \over 2}$$
D
$${4\pi }$$
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