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  • please solve rd sharma class 12 chapter Indefinite Integrals exercise 18.2 question 8 maths textbook solution

please solve rd sharma class 12 chapter Indefinite Integrals exercise 18.2 question 8 maths textbook solution

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Hint: To solve this equation we integral the term separately

\begin{aligned} &\text { Given: } \int\left\{x^{2}+e^{\log x}+\left(\frac{e}{2}\right)^{x}\right\} d x \\ &\text { Solution: (1) } e^{\log x}=x \end{aligned}

\\ \\ \Rightarrow \hspace{1cm}I=\int [x^{2}+x+(\frac{e}{2})^{x}]dx\\ \\ \Rightarrow \hspace{1cm}I=\frac{x^{3}}{3}+\frac{x^{2}}{2}+\frac{1}{\log \frac{e}{2}}\cdot(\frac{e}{2})^{x}+c

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