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Popular >

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

Solution

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

Solution

\frac{64}{3}

+1

Decimal Notation

21.33333 \dots

Solution steps

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

\int_{- 1}^{3} x^{2} d x = \frac{28}{3}

\int_{- 1}^{3} 2 x d x = 8

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

= \frac{28}{3} + 8 + 4

Simplify

\frac{28}{3} + 8 + 4 : \frac{64}{3}

= \frac{64}{3}

Popular Examples

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

integral from 0 to 1/5 of 4x

\int_{0}^{\frac{1}{5}} 4 x d x

integral from 1 to 2 of x^2+4

\int_{1}^{2} x^{2} + 4 d x

integral from 3 to 4 of 1/(2-5t)

\int_{3}^{4} \frac{1}{2 - 5 t} d t

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of x^2+2x+1 ?
The integral from-1 to 3 of x^2+2x+1 is 64/3