Which of the following are true ? (i) i...

Which of the following are true ? (i) `int_a^(pi-a)xf(sinx)dx=pi/2int_a^(pi-a)f(sinx)dx` (ii) `int_(-a)^(a)f(x^2)dx=2int_0^af(x^2)dx` (iii) `int_(0)^(npi)f(cos^2x)dx=nint_0^(pi)f(cosx)dx, n in N` (iv) `int_0^(b-c)f(x+c)dx=int_c^(b)f(x)dx`

Similar Questions

Explore conceptually related problems

int_(0)^( pi)xf(sin x)dx=(pi)/(2)int_(0)^( pi)f(sin x)dx

Show that, int_(0)^(pi)xf(sinx)dx=(pi)/(2)int_(0)^(pi)f(sinx)dx .

If int_(0)^(pi)xf(sinx)dx=A int_(0)^(pi//2) f(sinx)dx , then A is

Prove that, int_(0)^(pi)f(sinx)dx=2int_(0)^((pi)/(2))f(sinx)dx .

If P=int_(0)^(3pi)f(cos^(2)x) dx and Q=int_(0)^(pi) f(cos^(2)x)dx , then -

If int_(0)^(n pi)f(cos^(2)x)dx=k int_(0)^( pi)f(c0s^(2)x)dx, then find the value k

If P = int_(0)^(3pi) f(cos^(2)x)dx and Q=int_(0)^(pi) f(cos^(2)x)dx , then

If int_(0)^(npi) f(cos^(2)x)dx=k int_(0)^(pi) f(cos^(2)x)dx , then the value of k, is