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Popular >

integral of 3/(x^6)

Solution

\int \frac{3}{x ^{6}} d x

Solution

- \frac{3}{5 x ^{5}} + C

Solution steps

\int \frac{3}{x ^{6}} 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 ^{6}} d x

Apply the Power Rule

: - \frac{1}{5 x ^{5}}

= 3 (- \frac{1}{5 x ^{5}})

Simplify

3 (- \frac{1}{5 x ^{5}}) : - \frac{3}{5 x ^{5}}

= - \frac{3}{5 x ^{5}}

Add a constant to the solution

= - \frac{3}{5 x ^{5}} + C

Graph

Popular Examples

tangent of y=x^2-2x-2,(3,1)tangent of

y = x^{2} - 2 x - 2, (3, 1)

integral of 1/2 (3sin(x)+7)

\int \frac{1}{2} (3 sin (x) + 7) d x

derivative of y=2x(5-3x)^4 derivative of

y = 2 x (5 - 3 x)^{4}

limit as x approaches 0 of (sec(x))/x

x \to 0 lim (\frac{sec ( x )}{x})

area x^2+2,2x+5 area

x^{2} + 2, 2 x + 5

Frequently Asked Questions (FAQ)

What is the integral of 3/(x^6) ?
The integral of 3/(x^6) is -3/(5x^5)+C