ediculeN

2021-02-12

Solve.

ottcomn

Skilled2021-02-13Added 97 answers

There are three properties of integrals that we'll exploit to evaluate this. Those are

1.The integral of a sum is the sum of the integrals of the terms.

2.The integral of a constant times a function is equal to the constant times the integral of the function.

3.The integral of a power n of x is given by

Now let's use those. Firstly, we use property 1 to split up that integral.

Next we'll use property 2 to pull out any constants.

And finally we'll use property 3 to evaluate those integrals.

Now we just simplify and we're done!

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