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# Integrate the function $x^2-4$ from $2$ to $2$

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##  Step-by-step Solution 

Problem to solve:

$\int_{2}^{2}\left(x^2-4\right)dx$

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Expand the integral $\int_{2}^{2}\left(x^2-4\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int_{2}^{2} x^2dx+\int_{2}^{2}-4dx$

Learn how to solve definite integrals problems step by step online.

$\int_{2}^{2} x^2dx+\int_{2}^{2}-4dx$

Learn how to solve definite integrals problems step by step online. Integrate the function x^2-4 from 2 to 2. Expand the integral \int_{2}^{2}\left(x^2-4\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{2}^{2} x^2dx results in: 0. The integral \int_{2}^{2}-4dx results in: 0. Gather the results of all integrals.

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##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve int(x^2-4)dx&2&2 using partial fractionsSolve int(x^2-4)dx&2&2 using basic integralsSolve int(x^2-4)dx&2&2 using u-substitutionSolve int(x^2-4)dx&2&2 using integration by partsSolve int(x^2-4)dx&2&2 using trigonometric substitution

### Main topic:

Definite Integrals

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