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Popular >

integral from 1 to 2 of (2/3+2z)

Solution

\int_{1}^{2} (\frac{2}{3} + 2 z) d z

Solution

\frac{11}{3}

+1

Decimal Notation

3.66666 \dots

Solution steps

\int_{1}^{2} \frac{2}{3} + 2 z d z

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} \frac{2}{3} d z + \int_{1}^{2} 2 z d z

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

\int_{1}^{2} 2 z d z = 3

= \frac{2}{3} + 3

Simplify

\frac{2}{3} + 3 : \frac{11}{3}

= \frac{11}{3}

Popular Examples

integral from 0 to 1 of (1+6t)/(1+2t)

\int_{0}^{1} \frac{1 + 6 t}{1 + 2 t} d t

integral from 0 to 1 of 2(ax-(x^2+x))

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

integral from 0 to 1 of 4/3 t^{3/2}(t+2)

\int_{0}^{1} \frac{4}{3} t^{\frac{3}{2}} (t + 2) d t

integral from 0 to infinity of x(e^{-x})

\int_{0}^{\infty} x (e^{- x}) d x

integral from 0 to pi/2 of 1-sin^3(x)

\int_{0}^{\frac{π}{2}} 1 - sin^{3} (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (2/3+2z) ?
The integral from 1 to 2 of (2/3+2z) is 11/3