I am Aniket studing in 12 th standard At Mumbai I have following integration problem please give me a solution

integral of 1/under root of (5x^{2} - 2x) dx

Aniket,

I would complete the square of the expression 5x^{2} - 2x

5x^{2} - 2x = 5(x^{2} - 2/5 x) = 5(x^{2} - 2/5 x + 1/25) - 5/25 = 5[(x - 1/5)^{2} - 1/25]

The integrand is now in a form where you can try a secant substitution.

Penny