Mathematics Questions

4. $\sqrt{2 + \sqrt{2+2\cos4\theta}}$

COMEDK 2008 Application of Integrals

9. $\int\limits_0^{2x} (\sin x + | \sin x |)dx = $

COMEDK 2007 Inverse Trigonometric Functions

12. The value of the $\sin[\cot^{-1} . \{ \cos(\tan^{-1} x\} ]$ is

COMEDK 2009 Application of Integrals

17. The equation $x^{\frac{3}{4}(\log_2 x)^2+\log_2x-\frac{5}{4}=\sqrt2}$ has

IIT JEE 1989 Complex Numbers and Quadratic Equations

19. Number of divisors of the form $(4n + 2), n\ge 0$ of the integer 240 is

IIT JEE 1998 Permutations and Combinations