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$\int\frac{e^{3x}\left(e^x\right)^2}{\left(e^x\right)^3e^{2x}}dx$
Learn how to solve problems step by step online. Solve the rational equation y=(e^(3x)e^x^2)/(e^x^3e^(2x)). Find the integral. Rewrite the fraction \frac{e^{3x}\left(e^x\right)^2}{\left(e^x\right)^3e^{2x}} inside the integral as the product of two functions: e^{3x}\frac{\left(e^x\right)^2}{\left(e^x\right)^3e^{2x}}. We can solve the integral \int e^{3x}\frac{\left(e^x\right)^2}{\left(e^x\right)^3e^{2x}}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du.