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Popular >

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

Solution

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

Solution

\frac{175}{6}

+1

Decimal Notation

29.16666 \dots

Solution steps

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

\int_{- 3}^{2} x^{2} d x = \frac{35}{3}

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

\int_{- 3}^{2} 3 d x = 15

= \frac{35}{3} - (- \frac{5}{2}) + 15

Simplify

\frac{35}{3} - (- \frac{5}{2}) + 15 : \frac{175}{6}

= \frac{175}{6}

Popular Examples

integral from 0 to (5pi)/4 of (ln(x)x^2)

\int_{0}^{\frac{5 π}{4}} (ln (x) x^{2}) d x

integral from 0 to 2 of (1+x/2)

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

integral from 1 to infinity of 3/(x^6)

\int_{1}^{\infty} \frac{3}{x ^{6}} d x

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

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

integral from 1 to 4 of (5x+6)

\int_{1}^{4} (5 x + 6) d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 2 of x^2-x+3 ?
The integral from-3 to 2 of x^2-x+3 is 175/6