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  • Please Solve RD Sharma Class 12 Chapter 19 Definite Integrals Exercise Revision Exercise Question 65 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 19 Definite Integrals Exercise Revision Exercise Question 65 Maths Textbook Solution.

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Answer:   \frac{1}{e^{2}}\left[1-\frac{1}{e}\right]

Hint: To solve the given statement use the formula of  e^{-x}

Given:  \int_{2}^{3} e^{-x} d x

Solution:  \int_{2}^{3} e^{-x} d x

\begin{aligned} &=\left[-e^{-x}\right]_{2}^{3} \\ & \end{aligned}

=\left(-e^{-3}\right)-\left(-e^{-2}\right) \\

=-e^{-3}+e^{-2} \\

=-\frac{1}{e^{3}}+\frac{1}{e^{2}} \\

=\frac{1}{e^{2}}\left[1-\frac{1}{e}\right]

 

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