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Popular >

integral from 1 to 5 of x^2+x+2

Solution

\int_{1}^{5} x^{2} + x + 2 d x

Solution

\frac{184}{3}

+1

Decimal Notation

61.33333 \dots

Solution steps

\int_{1}^{5} x^{2} + 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}^{5} x^{2} d x + \int_{1}^{5} x d x + \int_{1}^{5} 2 d x

\int_{1}^{5} x^{2} d x = \frac{124}{3}

\int_{1}^{5} x d x = 12

\int_{1}^{5} 2 d x = 8

= \frac{124}{3} + 12 + 8

Simplify

\frac{124}{3} + 12 + 8 : \frac{184}{3}

= \frac{184}{3}

Popular Examples

integral from 1 to 4 of 4/(1-3x)

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

integral from 0 to 1 of 2te^{t^2-1}+3t^7

\int_{0}^{1} 2 t e^{t^{2} - 1} + 3 t^{7} d t

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

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

integral from 1 to 4 of (u-8)/(sqrt(u))

\int_{1}^{4} \frac{u - 8}{u} d u

integral from 2x to x^2 of sqrt(t)

\int_{2 x}^{x^{2}} t d t

Frequently Asked Questions (FAQ)

What is the integral from 1 to 5 of x^2+x+2 ?
The integral from 1 to 5 of x^2+x+2 is 184/3