1
IIT-JEE 1985
Subjective
+2
-0
Evaluate the following $$\int {\sqrt {{{1 - \sqrt x } \over {1 + \sqrt x }}dx} } $$
2
IIT-JEE 1985
MCQ (Single Correct Answer)
+2
-0.5
For any integer $$n$$ the integral ...........
$$\int\limits_0^\pi {{e^{{{\cos }^2}x}}{{\cos }^3}\left( {2n + 1} \right)xdx} $$ has the value
A
$$\pi $$
B
$$1$$
C
$$0$$
D
none of these
3
IIT-JEE 1985
Subjective
+2
-0
Evaluate the following : $$\,\,\int\limits_0^{\pi /2} {{{x\sin x\cos x} \over {{{\cos }^4}x + {{\sin }^4}x}}} dx$$
4
IIT-JEE 1985
Subjective
+5
-0
Sketch the region bounded by the curves $$y = \sqrt {5 - {x^2}} $$ and $$y = \left| {x - 1} \right|$$ and find its area.
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