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Popular >

integral from 1 to 4 of (x^2-1)

Solution

\int_{1}^{4} (x^{2} - 1) d x

Solution

18

Solution steps

\int_{1}^{4} x^{2} - 1 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_{1}^{4} x^{2} d x - \int_{1}^{4} 1 d x

\int_{1}^{4} x^{2} d x = 21

\int_{1}^{4} 1 d x = 3

= 21 - 3

Simplify

= 18

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\int_{0}^{2 π} 4 cos^{2} (θ) d θ

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\int_{1}^{2} \frac{5 - 7 x}{x ^{3}} d x

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of (x^2-1) ?
The integral from 1 to 4 of (x^2-1) is 18