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Popular >

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

Solution

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

Solution

- \frac{4}{3}

+1

Decimal Notation

- 1.33333 \dots

Solution steps

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

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

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

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

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

Simplify

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

= - \frac{4}{3}

Popular Examples

f(x)=e^x+sin(x)

f (x) = e^{x} + sin (x)

derivative of (2x/y)

\frac{d}{d x} (\frac{2 x}{y})

derivative of f(x)=1+sin(x)derivative of

f (x) = 1 + sin (x)

derivative of (2x/(sqrt(x^2+2)))

\frac{d}{d x} (\frac{2 x}{x ^{2} + 2})

(\partial)/(\partial x)(1/2)

\frac{\partial}{\partial x} (\frac{1}{2})

Frequently Asked Questions (FAQ)

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