What is the integral from 3 to 4 of 5x ?

The integral from 3 to 4 of 5x is 35/2

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integral from 3 to 4 of 5x

\int_{3}^{4} 5 x d x

\frac{35}{2}

Decimal Notation

17.5

Solution steps

\int_{3}^{4} 5 x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int_{3}^{4} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{3}^{4}

= 5 [\frac{x ^{2}}{2}]_{3}^{4}

Compute the boundaries:

\frac{7}{2}

= 5 \cdot \frac{7}{2}

Simplify

= \frac{35}{2}

y^{^{''}} + 9 y = 18

n = 1 \sum \infty \frac{15 n !}{n ^{n}}

\frac{\partial}{\partial x} (2 x + 3 y + 6 x y e^{3 x^{2} y})

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

\frac{d}{d x} (\frac{2 arctan ( x )}{1 + x ^{2}})