Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\int\frac{1}{\sqrt{x}(\sqrt{x+1)}dx$$

Answer

$$int*d*x^(3/2)*(sqrt(x)+1)$$

Solution


Simplify.
\[intdx\sqrt{x}(\sqrt{x}+1)\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[intd{x}^{\frac{3}{2}}(\sqrt{x}+1)\]
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