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Popular >

integral of In(4x)

Solution

\int I n (4 x) d x

Solution

2 I n x^{2} + C

Solution steps

\int I n \cdot 4 x d x

Take the constant out:

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

= 4 I n \cdot \int x d x

Apply the Power Rule

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

= 4 I n \frac{x ^{2}}{2}

Simplify

4 I n \frac{x ^{2}}{2} : 2 I n x^{2}

= 2 I n x^{2}

Add a constant to the solution

= 2 I n x^{2} + C

Popular Examples

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f (x) = \frac{2}{x + 1}, at x = 3, y = 1

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x - 2 x

integral of (e^{-sqrt(x)})/(sqrt(x))

\int \frac{e ^{- x}}{x} d x

3xy+y^2+(x^2+xy)y^'=0

3 x y + y^{2} + (x^{2} + x y) y^{^{'}} = 0

(dy}{dx}=\frac{x^5-4y)/x

\frac{d y}{d x} = \frac{x ^{5} - 4 y}{x}

Frequently Asked Questions (FAQ)

What is the integral of In(4x) ?
The integral of In(4x) is 2Inx^2+C