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Popular >

integral of-3/(x^4)

Solution

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

Solution

\frac{1}{x ^{3}} + C

Solution steps

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

Take the constant out:

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

= - 3 \cdot \int \frac{1}{x ^{4}} d x

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

= \frac{1}{x ^{3}} + C

Graph

Popular Examples

integral of (x^2+3x+5)/(x^3+8)

\int \frac{x ^{2} + 3 x + 5}{x ^{3} + 8} d x

(d^4)/(dx^4)(e^{2x})

\frac{d ^{4}}{d x ^{4}} (e^{2 x})

area sqrt(2x+8),x,[0,9]area

2 x + 8, x, [0, 9]

integral of 5ln(x^2-1)

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

integral of (l-x)^2

\int (l - x)^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of-3/(x^4) ?
The integral of-3/(x^4) is 1/(x^3)+C