int_{b}^{a}x^{7}dx

Wierzycaz 2021-01-02 Answered
bax7dx
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Expert Answer

Nola Robson
Answered 2021-01-03 Author has 94 answers

There is a formula for calculating the integral of xn for any n. It is
abxndx=1n+1bn+11n+1an+1
So, substituting in n=7n=7, we find that
abx7dx=18b818a8
Note that this seems a bit too easy so if you haven't gotten to this formula in your class yet and you need to evaluate this integral using the definition or by "guessing" the antiderivative instead of using this rule directly, let me know in a comment and I'll update my answer.

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