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Popular >

integral from 1 to 4 of (3x^2-1)

Solution

\int_{1}^{4} (3 x^{2} - 1) d x

Solution

60

Solution steps

\int_{1}^{4} 3 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} 3 x^{2} d x - \int_{1}^{4} 1 d x

\int_{1}^{4} 3 x^{2} d x = 63

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

= 63 - 3

Simplify

= 60

Graph

Popular Examples

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\int_{0}^{π} (x) cos (n x) d x

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\int_{1}^{4} 1 + x^{2} d x

integral from 2 to 3 of 2

\int_{2}^{3} 2 d x

integral from 0 to 3 of (4-x)

\int_{0}^{3} (4 - x) d x

integral from 0 to pi of (2+sin(x))

\int_{0}^{π} (2 + sin (x)) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of (3x^2-1) ?
The integral from 1 to 4 of (3x^2-1) is 60