`int_a^b1/(x^2)dx`

int_a^b logx/x^2dx

int_a^b logx/x^2dx

IF int_a^b x^1 dx=0 and int_a^b x^2 dx=2/3 then what are the values of a and b respectively.

If int_a^b x^3dx=0 , and If int_a^b x^2dx=2/3, find a and b.

STATEMENT 1: int_0^pixsinxcos^2xdx=pi/2int_0^pisinxcos^2x dx . STATEMENT 2: int_a^b xf(x)dx=(a+b)/2int_a^bf(x)dx .

STATEMENT 1: int_0^pixsinxcos^2xdx=pi/2int_0^pisinxcos^2x dx . STATEMENT 2: int_a^b xf(x)dx=(a+b)/2int_a^bf(x)dx .

If int_(a)^(b)f(dx)dx=l_(1), int_(a)^(b)g(x)dx = l_(2) then :

(i) int_2^3 1/x dx (ii) int_1^2 1/x^2 dx (iii) int_1^e (dx)/x (iv) int_-1^1 (x+1) dx