Final Answer
Step-by-step Solution
Specify the solving method
Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number
Learn how to solve integrals of exponential functions problems step by step online.
$\int\left(\frac{1}{x}+e^{-21x}\right)dx$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(x^(-1)+e^(-21x))dx. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Expand the integral \int\left(\frac{1}{x}+e^{-21x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{x}dx results in: \ln\left(x\right). The integral \int e^{-21x}dx results in: -\frac{1}{21}e^{-21x}.