Final answer to the problem
$\frac{x^{4}}{4}-\frac{5}{2}x^2+C_0$
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Step-by-step Solution
How should I solve this problem?
- Integrate by trigonometric substitution
- 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
- Load more...
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1
Find the integral
$\int\left(x^3-5x\right)dx$
Learn how to solve integral calculus problems step by step online.
$\int\left(x^3-5x\right)dx$
Learn how to solve integral calculus problems step by step online. Simplify the expression f(x)=x^3-5x. Find the integral. Expand the integral \int\left(x^3-5x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^3dx results in: \frac{x^{4}}{4}. The integral \int-5xdx results in: -\frac{5}{2}x^2.
Final answer to the problem
$\frac{x^{4}}{4}-\frac{5}{2}x^2+C_0$
