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Popular >

integral from 4 to 7 of (x^2-16)

Solution

\int_{4}^{7} (x^{2} - 16) d x

Solution

45

Solution steps

\int_{4}^{7} x^{2} - 16 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{4}^{7} x^{2} d x - \int_{4}^{7} 16 d x

\int_{4}^{7} x^{2} d x = 93

\int_{4}^{7} 16 d x = 48

= 93 - 48

Simplify

= 45

Graph

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\int_{0}^{1} x sin (n x π) d x

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Frequently Asked Questions (FAQ)

What is the integral from 4 to 7 of (x^2-16) ?
The integral from 4 to 7 of (x^2-16) is 45