Final Answer
$\ln\left(x\right)-\frac{1}{21}e^{-21x}+C_0$
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Step-by-step Solution
Problem to solve:
$\int\left(x^{-1}+e^{-21x}\right)dx$
Specify the solving method
1
Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number
$\int\left(\frac{1}{x^{1}}+e^{-21x}\right)dx$
Learn how to solve integral calculus problems step by step online.
$\int\left(\frac{1}{x^{1}}+e^{-21x}\right)dx$
Learn how to solve integral calculus 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. Simplify the expression inside the integral. 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}.
Final Answer
$\ln\left(x\right)-\frac{1}{21}e^{-21x}+C_0$