Mathematics

Evaluate by summation method
$$\displaystyle \int_3^5 e^{-8x} dx$$ 


SOLUTION
Consider the given integral.
$$I=\int_{3}^{5}e^{-8x}dx$$
$$I=\left [ \dfrac{e^{-8x}}{-8} \right ]_{3}^{5}$$
$$I=\left [ -\dfrac{1}{8} \right ](e^{-40x}-e^{-24x})$$
$$I=\dfrac{1}{8}(e^{-24x}-e^{-40x})$$

Hence, this is the answer.
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Subjective Medium Published on 17th 09, 2020
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