Home
Class 12
MATHS
The imaginary part of "(1+i)" a) "e^((pi...

The imaginary part of "(1+i)" a) "e^((pi)/(2))sin(log sqrt(2))," b) "e^((pi)/(4)cos(log sqrt(2))," c) "0," d) none

Promotional Banner

Similar Questions

Explore conceptually related problems

The value of int_(-(pi)/(2))^((pi)/(2))sin{log(x+sqrt(x^(2)+1))}dx is

int_(-(pi)/(2))^((pi)/(2))sin{log(x+sqrt(x^(2)+1))}dx

int_(0)^((pi)/(4))log(sin2 theta)d theta=-((pi)/(4))log((1)/(2))

int_(0)^((pi)/(2))(cos^(2)x)/(sin x+cos x)dx=(1)/(sqrt(2))(log(sqrt(2)+1))

The value of int_(-pi//2)^(pi//2) sin{log(x+sqrt(x^(2)+1)}dx is

Show that : int_(0)^((pi)/(2))(sin^(2)x)/(sin x+cos x)dx=(1)/(sqrt(2))log(sqrt(2)+1)

int_(0)^((pi)/(2))log sin xdx=int_(0)^((pi)/(2))log cos xdx=(1)/(2)(pi)log((1)/(2))

int_ (0) ^ ((pi) / (2)) (1) / (1 + e ^ (sqrt (2) sin (x- (pi) / (4)))) dx =

lim_(xrarroo) x^(2)sin(log_(e)sqrt(cos(pi)/(x)))