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Popular >

integral from 1 to 3 of x^2+1

Solution

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

Solution

\frac{32}{3}

+1

Decimal Notation

10.66666 \dots

Solution steps

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

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

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

= \frac{26}{3} + 2

Simplify

\frac{26}{3} + 2 : \frac{32}{3}

= \frac{32}{3}

Popular Examples

integral of xe^{(1+x^2)}

\int x e^{(1 + x^{2})} d x

5x^2y^'=y^'+5xe^{-y}

5 x^{2} y^{^{'}} = y^{^{'}} + 5 x e^{- y}

(\partial)/(\partial x)(W*L*H(W,L,x))

\frac{\partial}{\partial x} (W \cdot L \cdot H (W, L, x))

(\partial)/(\partial y)(sqrt(y/x))

\frac{\partial}{\partial y} (\frac{y}{x})

derivative of (x^2+3/x)

\frac{d}{d x} (\frac{x ^{2} + 3}{x})

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of x^2+1 ?
The integral from 1 to 3 of x^2+1 is 32/3