[" Q3."],[int_(-a)^(a)|x|dx=2int_(0)^(a)xdx],[" True "],[" False "]

int_(0)^(3/2)2xdx

int_(0)^(2 pi)sin^(3)x cos^(2)xdx

Prove that int_(-a)^(a) dx = {(2int_(0)^(a) f(x) dx, if f(x) "is even"),(0, if f(x) "is odd"):} and hence evaluate (d) int_(-pi//2)^(pi//2)tan^(9) xdx .

Prove that int_(-a)^(a) dx = {(2int_(0)^(a) f(x) dx, if f(x) "is even"),(0, if f(x) "is odd"):} and hence evaluate (a) int_(-1)^(1) sin^(5)x cos^(4)xdx .

int_(0)^( pi/2)sin^(3)x*cos^(2)xdx

int_(0)^( pi/2)sin^(2)x cos^(3)xdx

If int_(a)^(b)|sin x|dx=8 and int_(0)^(a+b)|cos x|dx=9 then find the value of int_(a)^(b)x sin xdx

"int_(0)^( pi)x sin^(2)xdx

int_(0)^( pi/2)x sin xdx

int_(0)^( pi/2)e^(x)xdx=