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Popular >

integral from 0 to 2 of x^3-4x+3

Solution

\int_{0}^{2} x^{3} - 4 x + 3 d x

Solution

2

Solution steps

\int_{0}^{2} x^{3} - 4 x + 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_{0}^{2} x^{3} d x - \int_{0}^{2} 4 x d x + \int_{0}^{2} 3 d x

\int_{0}^{2} x^{3} d x = 4

\int_{0}^{2} 4 x d x = 8

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

= 4 - 8 + 6

Simplify

= 2

Popular Examples

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

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

integral from 0 to x of 1/(1-t)

\int_{0}^{x} \frac{1}{1 - t} d t

integral from 0 to 4 of (4x-3sqrt(x))

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

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

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

integral from 0 to infinity of e

\int_{0}^{\infty} e

Frequently Asked Questions (FAQ)

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