# e^(-2x)) dx Option 2: 3âˆ«(e^(x) + e^(-x)) dx + C Option 3: âˆ«(e^(2x) + e^(-2x)) dx + 2x + C Option 4: âˆ«(e^(2x)

integration of e^2x in Hindi
integration of e^2x in Hindi

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Integrate the function âˆ«(e^x + e^(-x)) dx
Option 1: âˆ«(e^(2x) – e^(-2x)) dx
Option 2: 3âˆ«(e^(x) + e^(-x)) dx + C
Option 3: âˆ«(e^(2x) + e^(-2x)) dx + 2x + C
Option 4: âˆ«(e^(2x) – e^(2x)) dx + 2x + C

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integrate each of the given functions.$$\int_{1}^{3} 3 e^{2 x}\left(e^{-2 x}-1\right) d x$$

Transcript

We can integrate each term separately using the power rule. Integrate e to the power x dx is equal to e to the power x plus c1. Integrate e to the power minus x dx is equal to minus e to the power minus x plus c2. Where c1 and c2 are constant of integration. Substituting these values into the original equation we get. Integrate e to the power x plus e to the power minus x dx is…

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