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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

derivative of-e^{2x}

\frac{d}{d x} (- e^{2 x})

derivative of 1-x/2+(x^2/9)

\frac{d}{d x} (1 - \frac{x}{2} + \frac{x ^{2}}{9})

derivative of ln(xe^{sqrt(x)}+3)

\frac{d}{d x} (ln (x e^{x} + 3))

derivative of x^3(x^4-1)

\frac{d}{d x} (x^{3} (x^{4} - 1))

tangent of f(x)=-3x^3-2x^2-1,\at-1 tangent of

f (x) = - 3 x^{3} - 2 x^{2} - 1, at - 1

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