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Popular >

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

Solution

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

Solution

\frac{1}{6}

+1

Decimal Notation

0.16666 \dots

Solution steps

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

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

\int_{1}^{2} 3 x d x = \frac{9}{2}

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

= - \frac{7}{3} + \frac{9}{2} - 2

Simplify

- \frac{7}{3} + \frac{9}{2} - 2 : \frac{1}{6}

= \frac{1}{6}

Popular Examples

2x^2(dy)/(dx)+2xy=y^3

2 x^{2} \frac{d y}{d x} + 2 x y = y^{3}

integral of sqrt(36-9x^2)

\int 36 - 9 x^{2} d x

d/(ds)((1-s^2)/((s^2+1)^2))

\frac{d}{d s} (\frac{1 - s ^{2}}{( s ^{2} + 1 ) ^{2}})

integral of 1/(3(x-2))

\int \frac{1}{3 ( x - 2 )} d x

x^{''}+2x^'+x=0,x(0)=2,x^'(0)=1

x^{^{''}} + 2 x^{^{'}} + x = 0, x (0) = 2, x^{^{'}} (0) = 1

Frequently Asked Questions (FAQ)

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