int_(0)^( pi/4)sin^(-1)sqrt((x)/(a+x))dx

int_(0)^( pi/4)sin|x|dx

If I_(1)=int_(0)^( pi/2)(sin x)^(sqrt(3)+1)dx,I_(2)=int_(0)^(pi/2)(sin x)^(sqrt(3)-1))dx then (I_(1))/(I_(2))=

STATEMENT-1 : int_(0)^(oo)(dx)/(1+e^(x))=ln2-1 STATEMENT-2 : int_(0)^(oo)(sin(tan^(-1)))/(1+x^(2))dx=pi STATEMENT-3 : int_(0)^(pi^(2)//4)(sinsqrt(x))/(sqrt(x))dx=1

STATEMENT-1 : int_(0)^(oo)(dx)/(1+e^(x))=ln2-1 STATEMENT-2 : int_(0)^(oo)(sin(tan^(-1)))/(1+x^(2))dx=pi STATEMENT-3 : int_(0)^(pi^(2)//4)(sinsqrt(x))/(sqrt(x))dx=1

int_(0)^(pi//4)sqrt((1-sin2x)/(1+sin 2x))dx=

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

int_(0)^(pi//2)tan^(-1)[(sqrt(1+sin x)+sqrt(1-sin x))/(sqrt(1+sin x)-sqrt(1-sin x))]\ dx

int_(0)^((pi)/(4))sqrt(1+sin2x)dx

int_(0)^( pi/2)sqrt(1-sin x)dx