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∫ { X 2 + E L O G X + ( E 2 ) X } D X - Mathematics

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Sum

\[\int\left\{ x^2 + e^{\log  x}+ \left( \frac{e}{2} \right)^x \right\} dx\]

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Solution

`∫       ( x^2 + e^log x+ (e/2 )^x ) dx`

`= ∫  x^2dx + ∫   xdx + ∫ (e/2)^x dx `

\[ = \frac{x^3}{3} + \frac{x^2}{2} + \frac{\left( \frac{e}{2} \right)^x}{\ln \left( \frac{e}{2} \right)} + C\]

Concept: Indefinite Integral Problems
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APPEARS IN

RD Sharma Class 12 Maths
Chapter 19 Indefinite Integrals
Exercise 19.2 | Q 8 | Page 14

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