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Popular >

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

Solution

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

Solution

\frac{115}{2}

+1

Decimal Notation

57.5

Solution steps

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

\int_{- 1}^{4} 3 x^{2} d x = 65

\int_{- 1}^{4} x d x = \frac{15}{2}

= 65 - \frac{15}{2}

Simplify

65 - \frac{15}{2} : \frac{115}{2}

= \frac{115}{2}

Popular Examples

integral of (20)/(1-cos(5x))

\int \frac{20}{1 - cos ( 5 x )} d x

limit as x approaches pi/6 of cos(x)

x \to \frac{π}{6} lim (cos (x))

limit as t approaches 1 of sqrt(t+2)

t \to 1 lim (t + 2)

derivative of 1/(cot(x))

\frac{d}{d x} (\frac{1}{cot ( x )})

derivative of (-4x^2+9^2)

\frac{d}{d x} ((- 4 x^{2} + 9)^{2})

Frequently Asked Questions (FAQ)

What is the integral from-1 to 4 of 3x^2-x ?
The integral from-1 to 4 of 3x^2-x is 115/2