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Popular Calculus >

integral from 0 to 1 of x^2-3x+6

Solution

\int_{0}^{1} x^{2} - 3 x + 6 d x

Solution

\frac{29}{6}

+1

Decimal

4.83333 \dots

Solution steps

\int_{0}^{1} x^{2} - 3 x + 6 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_{0}^{1} x^{2} d x - \int_{0}^{1} 3 x d x + \int_{0}^{1} 6 d x

\int_{0}^{1} x^{2} d x = \frac{1}{3}

\int_{0}^{1} 3 x d x = \frac{3}{2}

\int_{0}^{1} 6 d x = 6

= \frac{1}{3} - \frac{3}{2} + 6

Simplify

\frac{1}{3} - \frac{3}{2} + 6 : \frac{29}{6}

= \frac{29}{6}

Graph

Popular Examples

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\int_{0}^{2 x} e^{- x^{2}} d x

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\int_{3}^{6} (3 x^{2} + x - 3) d x

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

integral from 0 to x of t/(9+t^2)

\int_{0}^{x} \frac{t}{9 + t ^{2}} d t

integral from 1 to 2 of x^3*cos(x^4)

\int_{1}^{2} x^{3} \cdot cos (x^{4}) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of x^2-3x+6 ?
The integral from 0 to 1 of x^2-3x+6 is 29/6