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 (5x² - 2x) dx

Aniket,

I would complete the square of the expression 5x² - 2x

5x² - 2x
= 5(x² - 2/5 x)
= 5(x² - 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