ज्ञात करें `int (dx)/(x^2 -a^2), x lt a`

ज्ञात करें int log x dx

Integrate : int "tan"^(-1)(2x)/(1-x^(2))dx(-1 lt x lt 1)

Prove that 1 lt int_(0)^(2)((5-x)/(9-x^(2)))dx lt 6/5

Show that (i) (1)/(10sqrt(2))lt underset(0)overset(1)int(x^(9))/(sqrt(1+x))dx lt 1/10 , (ii) 1/2 ln 2 lt int_(0)^(1)(tanx)/(1+x^(2))dx lt (pi)/(2)

The values of 'a' for which int_0^(a) (3x^(2)+4x-5)dx lt a^(3)-2 are

The values of 'a' for which int_0^(a) (3x^(2)+4x-5)dx lt a^(3)-2 are

Prove that pi/6 lt int_0^1(dx) (sqrt(4-x^2-x^3)) lt pi/(4sqrt(2))

Prove that pi/6 lt int_0^1(dx) /(sqrt(4-x^2-x^3)) lt pi/(4sqrt(2))