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Popular >

integral from 1 to 3 of (3x^2-5)

Solution

\int_{1}^{3} (3 x^{2} - 5) d x

Solution

16

Solution steps

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

\int_{1}^{3} 3 x^{2} d x = 26

\int_{1}^{3} 5 d x = 10

= 26 - 10

Simplify

= 16

Graph

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\int_{0}^{\frac{π}{4}} (tan^{2} (x) + 2 x) d x

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\int_{0}^{\frac{1}{3}} e^{3 x} d x

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (3x^2-5) ?
The integral from 1 to 3 of (3x^2-5) is 16