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Popular >

integral from 0 to 3 of x^3+2

Solution

\int_{0}^{3} x^{3} + 2 d x

Solution

\frac{105}{4}

+1

Decimal Notation

26.25

Solution steps

\int_{0}^{3} x^{3} + 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_{0}^{3} x^{3} d x + \int_{0}^{3} 2 d x

\int_{0}^{3} x^{3} d x = \frac{81}{4}

\int_{0}^{3} 2 d x = 6

= \frac{81}{4} + 6

Simplify

\frac{81}{4} + 6 : \frac{105}{4}

= \frac{105}{4}

Popular Examples

integral from 0 to 3 of 1+sqrt(9-x^2)

\int_{0}^{3} 1 + 9 - x^{2} d x

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

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

integral from 0 to 8 of 3x^2-36x+105

\int_{0}^{8} 3 x^{2} - 36 x + 105 d x

integral from 0 to pi/6 of cos(3A)

\int_{0}^{\frac{π}{6}} cos (3 A)

integral from 0 to 1 of 2x^2-x^3

\int_{0}^{1} 2 x^{2} - x^{3} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of x^3+2 ?
The integral from 0 to 3 of x^3+2 is 105/4