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Exercise

$\int\:4x+2\left(8x-1\right)dx$

Step-by-step Solution

Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(4x+2(8x-1))dx. Rewrite the expression 4x+2\left(8x-1\right) inside the integral in factored form. Solve the product 2\left(10x-1\right). Expand the integral \int\left(20x-2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int20xdx results in: 10x^2.
Integrate int(4x+2(8x-1))dx

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Final answer to the exercise

$10x^2-2x+C_0$

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  • Integrate by partial fractions
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  • 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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