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Popular >

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

Solution

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

Solution

\frac{4}{3}

+1

Decimal Notation

1.33333 \dots

Solution steps

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

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

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

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

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

Simplify

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

= \frac{4}{3}

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\int_{0}^{1} (ln (2) + y) d y

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

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\int_{1}^{3} x (x + 1) d x

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\int_{0}^{1} c x d x

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\int_{0}^{2 π} 7 t 2 d t

Frequently Asked Questions (FAQ)

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