Final Answer
$2x+\frac{1}{2}e^{2x}+C_0$
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Step-by-step Solution
Problem to solve:
$\int\left(2+e^{2x}\right)dx$
Specify the solving method
1
Expand the integral $\int\left(2+e^{2x}\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
$\int2dx+\int e^{2x}dx$
Learn how to solve integrals of exponential functions problems step by step online.
$\int2dx+\int e^{2x}dx$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(2+e^(2x))dx. Expand the integral \int\left(2+e^{2x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int2dx results in: 2x. The integral \int e^{2x}dx results in: \frac{1}{2}e^{2x}. Gather the results of all integrals.
Final Answer
$2x+\frac{1}{2}e^{2x}+C_0$