Home
Class 12
MATHS
int(0)^(pi)( x dx)/(1+cos alpha sin x)[0...

`int_(0)^(pi)( x dx)/(1+cos alpha sin x)[0 lt alpha lt pi]`

Text Solution

Verified by Experts

The correct Answer is:
`(pi alpha)/(sin alpha)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Evaluate int_(0)^(pi)(x dx)/(1+cos alpha sin x) ,where 0lt alpha lt pi .

The value of the integral int_(0)^(1)(dx)/(x^(2)+2x cos alpha +1),0ltalpha lt pi is

int dx/(1-cos alpha cos x )(0 lt int dx/(1-cos alpha cos x )(0 le alpha le pi/2) alpha le pi/2)

Evaluate: int (dx)/(1-cos alpha cos x)(0< alpha < pi/2)

The area of the triangle whose vertices are represented by the complex numbers O,z and z(cos alpha + I sin alpha) (0 lt alpha lt pi) is equial to -

int_(0)^(pi) sec xsqrt((1-sin x)/(1+sin x))dx

int_(-pi)^(pi)(2x(1+sin x))/(1+cos^(2)x)dx

int _(0)^((pi)/(4)) (sin x+cos x)/(9+16 sin 2x)dx

The sides of a triangle are sin alpha, cos alpha and sqrt(1+ sin alpha cos alpha) where 0 lt alpha lt (pi)/(2). Then the greatest angle of the triangle is-

The value of the integral int_0^(pi/4) (sin x + cos x)/(3 + sin 2x) dx is equal to