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Popular >

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

Solution

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

Solution

\frac{4}{3}

+1

Decimal Notation

1.33333 \dots

Solution steps

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

\int_{0}^{4} x^{2} d x = \frac{64}{3}

\int_{0}^{4} 4 x d x = 32

\int_{0}^{4} 3 d x = 12

= \frac{64}{3} - 32 + 12

Simplify

\frac{64}{3} - 32 + 12 : \frac{4}{3}

= \frac{4}{3}

Popular Examples

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

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

integral from-5 to-2 of (7e^x+2/x)

\int_{- 5}^{- 2} (7 e^{x} + \frac{2}{x}) d x

integral from 0 to t of 5/(sqrt(1-x^2))

\int_{0}^{t} \frac{5}{1 - x ^{2}} d x

integral from-1 to 3 of |3x-2|

\int_{- 1}^{3} ∣ 3 x - 2 ∣ d x

integral from pi/2 to pi of x*cos(x)

\int_{\frac{π}{2}}^{π} x \cdot cos (x) d x

Frequently Asked Questions (FAQ)

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