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Popular >

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

Solution

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

Solution

\frac{20}{3}

+1

Decimal Notation

6.66666 \dots

Solution steps

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

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

\int_{- 1}^{1} 2 x d x = 0

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

= \frac{2}{3} - 0 + 6

Simplify

\frac{2}{3} - 0 + 6 : \frac{20}{3}

= \frac{20}{3}

Popular Examples

y=(2y^4+2x)(dy)/(dx)

y = (2 y^{4} + 2 x) \frac{d y}{d x}

integral from 0 to pi/4 of 1/(cos(x))

\int_{0}^{\frac{π}{4}} \frac{1}{cos ( x )} d x

(\partial)/(\partial x)(cos(x^3))

\frac{\partial}{\partial x} (cos (x^{3}))

derivative of cos(x^2*2x)

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

(\partial)/(\partial x)(xe^y-1)

\frac{\partial}{\partial x} (x e^{y} - 1)

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of x^2-2x+3 ?
The integral from-1 to 1 of x^2-2x+3 is 20/3