# Math

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Could someone answer this question so I understand it. Thanks

Find the indefinite integral.

x/ã3x^2+4 dx =

Simplify the answer. Use C as the arbitrary constant.

• Math -

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

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