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Popular >

integral of 2u

Solution

\int 2 u d u

Solution

u^{2} + C

Solution steps

\int 2 u d u

Take the constant out:

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

= 2 \cdot \int u d u

Apply the Power Rule

: \frac{u ^{2}}{2}

= 2 \cdot \frac{u ^{2}}{2}

Simplify

2 \cdot \frac{u ^{2}}{2} : u^{2}

= u^{2}

Add a constant to the solution

= u^{2} + C

Graph

Popular Examples

integral of 2x-4

\int 2 x - 4 d x

derivative of y=(81)/(x^4)derivative of

y = \frac{81}{x ^{4}}

tangent of f(x)=x^4-4x^2+7,\at x=1 tangent of

f (x) = x^{4} - 4 x^{2} + 7, at x = 1

derivative of (e^{8x}/(3x^4))

\frac{d}{d x} (\frac{e ^{8 x}}{3 x ^{4}})

integral of (3sqrt(x)-6x)

\int (3 x - 6 x) d x

Frequently Asked Questions (FAQ)

What is the integral of 2u ?
The integral of 2u is u^2+C