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Popular >

integral of 1/(4x^2)

Solution

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

Solution

- \frac{1}{4 x} + C

Solution steps

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

Take the constant out:

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

= \frac{1}{4} \cdot \int \frac{1}{x ^{2}} d x

Apply the Power Rule

: - \frac{1}{x}

= \frac{1}{4} (- \frac{1}{x})

Simplify

\frac{1}{4} (- \frac{1}{x}) : - \frac{1}{4 x}

= - \frac{1}{4 x}

Add a constant to the solution

= - \frac{1}{4 x} + C

Popular Examples

integral of (-8x^2)/(sqrt(4x-x^2))

\int \frac{- 8 x ^{2}}{4 x - x ^{2}} d x

derivative of 3cos(xsin(x))

\frac{d}{d x} (3 cos (x) sin (x))

integral of ((x-2))/x

\int \frac{( x - 2 )}{x} d x

tangent of f(x)=4x^3-4x,(-1,0)tangent of

f (x) = 4 x^{3} - 4 x, (- 1, 0)

tangent of f(x)=2e^{2x^2+3x},\at x=0 tangent of

f (x) = 2 e^{2 x^{2} + 3 x}, at x = 0

Frequently Asked Questions (FAQ)

What is the integral of 1/(4x^2) ?
The integral of 1/(4x^2) is -1/(4x)+C