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Popular >

integral of 9/(x^4)

Solution

\int \frac{9}{x ^{4}} d x

Solution

- \frac{3}{x ^{3}} + C

Solution steps

\int \frac{9}{x ^{4}} d x

Take the constant out:

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

= 9 \cdot \int \frac{1}{x ^{4}} d x

Apply the Power Rule

: - \frac{1}{3 x ^{3}}

= 9 (- \frac{1}{3 x ^{3}})

Simplify

9 (- \frac{1}{3 x ^{3}}) : - \frac{3}{x ^{3}}

= - \frac{3}{x ^{3}}

Add a constant to the solution

= - \frac{3}{x ^{3}} + C

Popular Examples

tangent of y=(sqrt(x))/(x+1),(4, 2/5)tangent of

y = \frac{x}{x + 1}, (4, \frac{2}{5})

limit as x approaches 0 of cos(x^2)

x \to 0 lim (cos (x^{2}))

area 7x-x^2,2x area

7 x - x^{2}, 2 x

derivative of f(x)= 1/2 (x+1)^{-1/2}derivative of

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

sum from n=1 to infinity of (1/5)^n

n = 1 \sum \infty (\frac{1}{5})^{n}

Frequently Asked Questions (FAQ)

What is the integral of 9/(x^4) ?
The integral of 9/(x^4) is -3/(x^3)+C