Question

`int (dx)/sqrt(5x - 6 - x^2)` equals ______.

विकल्प

• sin^–1(2x + 5) + c

• cos^–1(2x + 5) + c

• sin^–1(2x – 5) + c

• cos^–1(2x – 5) + c

Answer 1

`int (dx)/sqrt(5x - 6 - x^2)` equals `underlinebb(sin^-1(2x - 5) + c)`.

Explanation:

I = `int (dx)/sqrt(1/4 - (x - 5/2)^2`

= sin^–1(2x – 5) + c