Mathematics

Solve:$$\displaystyle \int \dfrac{dx}{\sqrt{x+a}}dx$$


SOLUTION
$$\displaystyle \int \dfrac {1}{\sqrt {x+4}} dx$$
Let $$x+e=t^1$$
$$dx=2+dt$$
$$\displaystyle \int \dfrac {2t}{t}dt \ \Rightarrow \ 2t$$
$$\Rightarrow \ 2\sqrt {x+a}+c$$

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Subjective Medium Published on 17th 09, 2020
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