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Popular >

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

Solution

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

Solution

\frac{4}{3}

+1

Decimal

1.33333 \dots

Solution steps

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

\int_{1}^{3} 4 x d x = 16

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

\int_{1}^{3} 3 d x = 6

= 16 - \frac{26}{3} - 6

Simplify

16 - \frac{26}{3} - 6 : \frac{4}{3}

= \frac{4}{3}

Graph

Popular Examples

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

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\int_{4}^{1} 5 5 x d x

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

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

integral from 0 to 20 of q^2-13q+70

\int_{0}^{20} q^{2} - 13 q + 70 d q

integral from 4 to 1 of xsqrt(x^2+4)

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

Frequently Asked Questions (FAQ)

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