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Popular >

integral from 1 to 2 of (7x+x^2)

Solution

\int_{1}^{2} (7 x + x^{2}) d x

Solution

\frac{77}{6}

+1

Decimal Notation

12.83333 \dots

Solution steps

\int_{1}^{2} 7 x + x^{2} 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}^{2} 7 x d x + \int_{1}^{2} x^{2} d x

\int_{1}^{2} 7 x d x = \frac{21}{2}

\int_{1}^{2} x^{2} d x = \frac{7}{3}

= \frac{21}{2} + \frac{7}{3}

Simplify

\frac{21}{2} + \frac{7}{3} : \frac{77}{6}

= \frac{77}{6}

Popular Examples

derivative of cos(2^x)derivative of

cos (2^{x})

(-19xy^2+10y)+(-19x^2y+10x)y^'=0

(- 19 x y^{2} + 10 y) + (- 19 x^{2} y + 10 x) y^{^{'}} = 0

x^2y(dy)/(dx)=e^y

x^{2} y \frac{d y}{d x} = e^{y}

limit as x approaches 2-of (x-2)/(|x-2|)

x \to 2 - lim (\frac{x - 2}{∣ x - 2 ∣})

y^'=((3x^2-e^x))/(2y-5)

y^{^{'}} = \frac{( 3 x ^{2} - e ^{x} )}{2 y - 5}

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (7x+x^2) ?
The integral from 1 to 2 of (7x+x^2) is 77/6