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Popular >

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

Solution

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

Solution

\frac{17}{6}

+1

Decimal Notation

2.83333 \dots

Solution steps

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

\int_{1}^{2} x^{2} d x = \frac{7}{3}

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

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

= \frac{7}{3} - \frac{3}{2} + 2

Simplify

\frac{7}{3} - \frac{3}{2} + 2 : \frac{17}{6}

= \frac{17}{6}

Popular Examples

integral from 1 to 2 of 4x^3-3x^2+2x

\int_{1}^{2} 4 x^{3} - 3 x^{2} + 2 x d x

integral from 0 to 1 of 2e^{x/7}+5

\int_{0}^{1} 2 e^{\frac{x}{7}} + 5 d x

integral from 0 to t of sin(x)*sin(t-x)

\int_{0}^{t} sin (x) \cdot sin (t - x) d x

integral from 0 to 4 of xsqrt(25-x^2)

\int_{0}^{4} x 25 - x^{2} d x

integral from x to 1 of (x+y)

\int_{x}^{1} (x + y) d y

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of x^2-x+2 ?
The integral from 1 to 2 of x^2-x+2 is 17/6