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Integration (p-1) — Maths (commerce) STD 12 Commerce / Arts — Question

Maharashtra BoardEnglish MediumSTD 12 Commerce / ArtsMaths (commerce)Integration (p-1)1 Mark
Question
Evalute : $\int(5 x+1)^{\frac{4}{9}} d x$
✓

Answer

$
\begin{aligned}
\int(5 x+1)^{\frac{4}{9}} d x & =\frac{(5 x+1)^{\frac{4}{9}+1}}{\frac{4}{9}+1} \times \frac{1}{5}+c \\
& =\frac{9}{65}(5 x+1)^{\frac{13}{9}}+c .
\end{aligned}
$

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