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Popular >

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

Solution

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

Solution

\frac{15}{2}

+1

Decimal Notation

7.5

Solution steps

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

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

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

\int_{- 2}^{1} 2 d x = 6

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

Simplify

3 - \frac{3}{2} + 6 : \frac{15}{2}

= \frac{15}{2}

Popular Examples

integral from-1 to 1 of 5/(1+25x^2)

\int_{- 1}^{1} \frac{5}{1 + 25 x ^{2}} d x

integral from y to y^2 of (x+2y)

\int_{y}^{y^{2}} (x + 2 y) d x

integral from 0 to 3 of (1+2sqrt(x))^2

\int_{0}^{3} (1 + 2 x)^{2} d x

integral from 0 to 1 of sqrt(x^2+x^4)

\int_{0}^{1} x^{2} + x^{4} d x

integral from 1 to 5 of-x^2+4x

\int_{1}^{5} - x^{2} + 4 x d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of x^2+x+2 ?
The integral from-2 to 1 of x^2+x+2 is 15/2