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Need solution for RD Sharma maths class 12 chapter 19 Definite Integrals exercise Very short answer type question 40

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Answer: e-1

Hint: you must know the rule of integration

Given: \int_{0}^{1} e^{\{x\}} d x

Solution:  \int_{0}^{1} e^{\{x\}} d x

Integration of exponential function is same as the function

\therefore\left[e^{\{x\}}\right]_{0}^{1} \quad\left[\because \int_{a}^{b} e^{x} d x=\left[e^{x}\right]_{a}^{b}\right]

\begin{aligned} &= e^{1}-e^{0} \\\\ &=e-1 \end{aligned}

 

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