Could someone answer this question so I understand it. Thanks

Question

Find the indefinite integral.

x/�ã3x^2+4 dx =

Simplify the answer. Use C as the arbitrary constant.

Answer 1

Required:
I=∫xdx/√(x²+4)

Try u=x²+4, du=2xdx, xdx = du/2
I=∫ (1/2)du/√(u)

Use the power rule for u^(-1/2)
I=u^(1/2)+C
=√(x²+4) + C