Question

`int (sin^-1 sqrt(x) + cos^-1 sqrt(x))dx` = ______.

Options

• `(πx)/2 + c`

• `(πx)/4 + c`

• x + c

• πx + c

Answer 1

`int (sin^-1 sqrt(x) + cos^-1 sqrt(x))dx` = `underlinebb((πx)/2 + c)`.

Explanation:

`int (sin^-1 sqrt(x) + cos^-1 sqrt(x))dx`

= `int π/2 dx`

= `π/2(x) + c`