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Popular >

integral of x/(x^4)

Solution

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

Solution

- \frac{1}{2 x ^{2}} + C

Solution steps

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

Cancel the common factor:

x

= \int \frac{1}{x ^{3}} d x

Apply the Power Rule

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

= - \frac{1}{2 x ^{2}}

Add a constant to the solution

= - \frac{1}{2 x ^{2}} + C

Popular Examples

integral of sqrt(sin(x))*cos(x)

\int sin (x) \cdot cos (x) d x

slope of y=3+4x^2-2x^3 slope

y = 3 + 4 x^{2} - 2 x^{3}

integral of (-cos(x))

\int (- cos (x)) d x

tangent of f(x)= 1/(2sqrt(x+1))tangent of

f (x) = \frac{1}{2 x + 1}

d/(dt)(5cos(2t))

\frac{d}{d t} (5 cos (2 t))

Frequently Asked Questions (FAQ)

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