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Popular >

integral from 0 to 1 of 5x-5x^2

Solution

\int_{0}^{1} 5 x - 5 x^{2} d x

Solution

\frac{5}{6}

+1

Decimal Notation

0.83333 \dots

Solution steps

\int_{0}^{1} 5 x - 5 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_{0}^{1} 5 x d x - \int_{0}^{1} 5 x^{2} d x

\int_{0}^{1} 5 x d x = \frac{5}{2}

\int_{0}^{1} 5 x^{2} d x = \frac{5}{3}

= \frac{5}{2} - \frac{5}{3}

Simplify

\frac{5}{2} - \frac{5}{3} : \frac{5}{6}

= \frac{5}{6}

Popular Examples

inverse oflaplace ((s+1)^2)/(s^2-s-6)inverse laplace

\frac{( s + 1 ) ^{2}}{s ^{2} - s - 6}

(\partial)/(\partial x)(sin(6x^3y-6xy^2))

\frac{\partial}{\partial x} (sin (6 x^{3} y - 6 x y^{2}))

derivative of 7/(x^8+5x+1)

\frac{d}{d x} (\frac{7}{x ^{8} + 5 x + 1})

derivative of sin(14x)

\frac{d}{d x} (sin (14 x))

y^'=1+y^2+x+xy^2

y^{^{'}} = 1 + y^{2} + x + x y^{2}

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of 5x-5x^2 ?
The integral from 0 to 1 of 5x-5x^2 is 5/6