NEW
New Website Launch
Experience the best way to solve previous year questions with mock tests (very detailed analysis), bookmark your favourite questions, practice etc...
1

### IIT-JEE 1986

Subjective
Evaluate : $$\int\limits_0^\pi {{{x\,dx} \over {1 + \cos \,\alpha \,\sin x}},0 < \alpha < \pi }$$

$${{\pi \alpha } \over {\sin x}}$$
2

### IIT-JEE 1985

Subjective
Sketch the region bounded by the curves $$y = \sqrt {5 - {x^2}}$$ and $$y = \left| {x - 1} \right|$$ and find its area.

$${{5\pi - 2} \over 4}$$ sq. units
3

### IIT-JEE 1985

Subjective
Evaluate the following : $$\,\,\int\limits_0^{\pi /2} {{{x\sin x\cos x} \over {{{\cos }^4}x + {{\sin }^4}x}}} dx$$

$${{{\pi ^2}} \over {16}}$$
4

### IIT-JEE 1984

Subjective
Find the area of the region bounded by the $$x$$-axis and the curves defined by $$y = \tan x, - {\pi \over 3} \le x \le {\pi \over 3};\,\,y = \cot x,{\pi \over 6} \le x \le {{3\pi } \over 2}$$\$

$$\log {3 \over 2}$$ sq. units

### Joint Entrance Examination

JEE Main JEE Advanced WB JEE

### Graduate Aptitude Test in Engineering

GATE CSE GATE ECE GATE EE GATE ME GATE CE GATE PI GATE IN

NEET

Class 12