09Bintegrationofex


 * Integration of e x **




 * Example 1 **

math \displaystyle{ \int e^{5x} \; dx } = \frac{1}{5}e^{5x} + c \qquad. math


 * Example 2 **

math \displaystyle{ \int 20e^{-2x} \; dx} = -10e^{-2x} + c \qquad. math


 * Example 3 **

math \\ \displaystyle{ \int (e^x-1)^2 \; dx} \qquad. \\ . \\ . \qquad \qquad = \displaystyle{ \int e^{2x} -2e^x + 1 \; dx} \qquad. \\ . \\ . \qquad \qquad = \frac{1}{2}e^{2x} - 2e^x + x + c \qquad. math

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