Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using basic integrals
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
- Exact Differential Equation
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Find the integral
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$\int\left(x^6+\frac{-6}{x^5}+e^{-4x}+\ln\left(3x\right)+\frac{-5}{x}\right)dx$
Learn how to solve integral calculus problems step by step online. Simplify the expression f(x)=x^6+-6/(x^5)e^(-4x)ln(3x)-5/x. Find the integral. Expand the integral \int\left(x^6+\frac{-6}{x^5}+e^{-4x}+\ln\left(3x\right)+\frac{-5}{x}\right)dx into 5 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^6dx results in: \frac{x^{7}}{7}. The integral \int\frac{-6}{x^5}dx results in: \frac{3}{2x^{4}}.