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Popular >

integral of (x^2)/(x^4)

Solution

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

Solution

- \frac{1}{x} + C

Solution steps

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

Simplify

\frac{x ^{2}}{x ^{4}} : \frac{1}{x ^{2}}

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

Apply the Power Rule

: - \frac{1}{x}

= - \frac{1}{x}

Add a constant to the solution

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

Popular Examples

integral of 1/(cos(x)sin^2(x))

\int \frac{1}{cos ( x ) sin ^{2} ( x )} d x

integral of (-3)/(4+x^2)

\int \frac{- 3}{4 + x ^{2}} d x

integral of (4x-1)^4

\int (4 x - 1)^{4} d x

integral of e^{(4x)/3}

\int e^{\frac{4 x}{3}} d x

integral of (3x-5x^2)/((3x-1)(x-1)^2)

\int \frac{3 x - 5 x ^{2}}{( 3 x - 1 ) ( x - 1 ) ^{2}} d x

Frequently Asked Questions (FAQ)

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