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$\int\frac{e^{\frac{2}{3}x}}{e^{\frac{5}{2}x}}dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (e^(2/3x))/(e^(5/2x)). Find the integral. Simplifying. The quotient of powers of same base (\frac{e^{\frac{2}{3}x}}{e^{\frac{5}{2}x}}) can be rewritten as the base to the power of the difference of the exponents. We can solve the integral \int e^{-\frac{11}{6}x}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that -\frac{11}{6}x it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.