Evaluate :

`(pi)/(2) +(pi)/(2)^(2)+(pi)/(2^(3))---- oo`

sin((2 pi)/(3)+(2 pi)/(3))

(pi)/(4)+(2 pi)/(3)-(pi)/(6)

Evaluate : int_(-pi/2)^(pi/2)xcos^2 xdx

Evaluate int_(-(pi)/(2))^((pi)/(2))x^(2)sin xdx

Evaluate: int_(-(3 pi)/(2))^(-(pi)/(2))[(x+pi)^(3)+cos^(2)(x+3 pi)]dx

Evaluate int_(-pi/2)^(pi/2) sin^2xdx

Evaluate: int_(-pi//2)^(pi//2)sin^2x\ dx

((pi)/(4))+((2 pi)/(3))-((pi)/(6))

Draw the polar coordinates (2, (pi)/(3)), (-2,(pi)/(3)), (-2,-(pi)/(3)) and (2, -(pi)/(3)) on the plane.

The smallest positive root of the equation tan x-x=0 lies in (0,(pi)/(2)) (b) ((pi)/(2),pi)(pi,(3 pi)/(2)) (d) ((3 pi)/(2),2 pi)