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Popular >

integral from 0 to 3 of (x/3+5)

Solution

\int_{0}^{3} (\frac{x}{3} + 5) d x

Solution

\frac{33}{2}

+1

Solution steps

\int_{0}^{3} \frac{x}{3} + 5 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}^{3} \frac{x}{3} d x + \int_{0}^{3} 5 d x

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

\int_{0}^{3} 5 d x = 15

= \frac{3}{2} + 15

Simplify

\frac{3}{2} + 15 : \frac{33}{2}

= \frac{33}{2}

Popular Examples

derivative of (5-x^2/(5+x^2))

\frac{d}{d x} (\frac{5 - x ^{2}}{5 + x ^{2}})

(\partial)/(\partial x)(1/6 x^3)

\frac{\partial}{\partial x} (\frac{1}{6} x^{3})

tangent of f(x)=2x^2+3x-2,(-1,-3)tangent of

f (x) = 2 x^{2} + 3 x - 2, (- 1, - 3)

derivative of e^{x^2+xy}

\frac{d}{d x} (e^{x^{2} + x y})

integral of 1/(sqrt(4-x^2))

\int \frac{1}{4 - x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (x/3+5) ?
The integral from 0 to 3 of (x/3+5) is 33/2