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Integrals — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsIntegrals1 Mark
Question
Find the integral: $\int\left(x^{\frac{2}{3}}+1\right) d x$
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Answer

We have
$\int\left(x^{\frac{2}{3}}+1\right) d x=\int x^{\frac{2}{3}} d x+\int 1d x$
= $\frac{x^{\frac{2}{3}+1}}{\frac{2}{3}+1}+x+\mathrm{C}=\frac{3}{5} x^{\frac{5}{3}}+x+\mathrm{C}$

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