Evaluate the integrals:

\( \int \dfrac{1}{x^{\dfrac{3}{2}}}\mathrm{d}x\)

Asked by Sakshi | 1 year ago |  74

1 Answer

Solution :-

\( \int \dfrac{1}{x^{\dfrac{3}{2}}}dx\)

Given equation can be written as

\( \int x^{\dfrac{-3}{2}}dx\)

On simplifying we get

\( -\dfrac{2}{\sqrt{x}}+c\)

\( \dfrac{x^{-\dfrac{3}{2}+1}}{-\dfrac{3}{2}+1}+c\)

 On simplifying we get

\( -\dfrac{2}{\sqrt{x}}+c\)

Answered by Sakshi | 1 year ago

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