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Popular >

integral of lx

Solution

\int l x d x

Solution

\frac{l x ^{2}}{2} + C

Solution steps

\int l x d x

Take the constant out:

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

= l \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= l \frac{x ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{l x ^{2}}{2}

Add a constant to the solution

= \frac{l x ^{2}}{2} + C

Popular Examples

derivative of x^{ln(3)}derivative of

x^{l n (3)}

integral of (3x-18)/((x-9)(x-5)^2)

\int \frac{3 x - 18}{( x - 9 ) ( x - 5 ) ^{2}} d x

(dy)/(dt)=3y+y^3

\frac{d y}{d t} = 3 y + y^{3}

2y^{''}+18y=5cos(3t)

2 y^{^{''}} + 18 y = 5 cos (3 t)

derivative of 1/((-x^2+x-2^5))

\frac{d}{d x} (\frac{1}{( - x ^{2} + x - 2 ) ^{5}})

Frequently Asked Questions (FAQ)

What is the integral of lx ?
The integral of lx is (lx^2)/2+C