Mathematics

$$\displaystyle \int \sqrt {2x+5}dx$$


ANSWER

$$\dfrac 13(2x+5)^{3/2}$$


SOLUTION
$$\displaystyle \int \sqrt {2x+5} dx\\2x+5=t\\2dx=dt\\\displaystyle \frac 12\int \sqrt t dt\\\dfrac 13t^{3/2}\\\dfrac 13(2x+5)^{3/2}+c $$
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Single Correct Medium Published on 17th 09, 2020
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