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Exercise

$\int6x\left(4-x\right)dx$

Step-by-step Solution

Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int(6x(4-x))dx. The integral of a function times a constant (6) is equal to the constant times the integral of the function. Rewrite the integrand x\left(4-x\right) in expanded form. Expand the integral \int\left(4x-x^2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral 24\int xdx results in: 12x^2.
Find the integral int(6x(4-x))dx

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Final answer to the exercise

$12x^2-2x^{3}+C_0$

Try other ways to solve this exercise

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  • Integrate by partial fractions
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  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Integrate using trigonometric identities
  • Integrate using basic integrals
  • Product of Binomials with Common Term
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Main Topic: Integrals of Polynomial Functions

Integrals of polynomial functions.

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