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Provide solution for RD Sharma maths class 12 chapter 19 Definite Integrals exercise Very short answer type question 10

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Answer: 1

Hint: You must know the integration rules of trigonometric function with its limits

Given: \int_{0}^{\infty} e^{-x} d x

Solution:  \left[\frac{e^{-x}}{-1}\right]_{0}^{\infty}

\begin{aligned} &=-\left[\frac{1}{e^{\infty}}-\frac{1}{e^{0}}\right] \\\\ &=0+1 \\\\ &=1 \end{aligned}


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