`inte^(a x)2^(b x)dx`

If int _(a)^(b) x^(3) dx = 0 and if int _(a)^(b) x^(2) dx = 2/3 , then the values of a and b respectively are

int(a^(x)-b^(x))dx=

Find the integral int(a x^2+b x+c)dx

int_(a)^(b)x^(2)dx

Evaluate the following integrals : int(a/x^(2)+b/x)dx (a and b are constant)

If int_(a)^(b)f(x)dx=int_(a)^(b)phi(x)dx , then-

Which of the following is incorrect? int_(a+ c)^(b+c)f(x)dx=int_a^bf(x+c)dx int_(ac)^(b c)f(x)dx=cint_a^bf(c x)dx int_(-a)^af(x)dx=1/2int_(-a)^a(f(x)+f(-x)dx None of these

Which of the following is incorrect? int_(a+ c)^(b+c)f(x)dx=int_a^bf(x+c)dx int_(ac)^(b c)f(x)dx=cint_a^bf(c x)dx int_(-a)^af(x)dx=1/2int_(-a)^a(f(x)+f(-x)dx None of these

int(a^(-x)-b^(-x))dx =