Final Answer
Step-by-step Solution
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Apply the property of power of a product in reverse: $a^n\cdot b^n=(a\cdot b)^n$
Learn how to solve integrals of exponential functions problems step by step online.
$\int\left(3\cdot e\right)^xdx$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(3^xe^x)dx. Apply the property of power of a product in reverse: a^n\cdot b^n=(a\cdot b)^n. Multiply 3 times e. The integral of the exponential function is given by the following formula \displaystyle \int a^xdx=\frac{a^x}{\ln(a)}, where a > 0 and a \neq 1. Calculating the natural logarithm of 3e.