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Popular >

integral of 3/(x^5)

Solution

\int \frac{3}{x ^{5}} d x

Solution

- \frac{3}{4 x ^{4}} + C

Solution steps

\int \frac{3}{x ^{5}} 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 ^{5}} d x

Apply the Power Rule

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

= 3 (- \frac{1}{4 x ^{4}})

Simplify

3 (- \frac{1}{4 x ^{4}}) : - \frac{3}{4 x ^{4}}

= - \frac{3}{4 x ^{4}}

Add a constant to the solution

= - \frac{3}{4 x ^{4}} + C

Popular Examples

integral of ((16x^2))/((sqrt(x^2+9))^5)

\int \frac{( 16 x ^{2} )}{( x ^{2} + 9 ) ^{5}} d x

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

\int \frac{x ^{2} - x + 1}{x ^{3}} d x

derivative of-5sin(xcos(x))

\frac{d}{d x} (- 5 sin (x) cos (x))

derivative of f(x)=8x^7e^x+e^xx^8 derivative of

f (x) = 8 x^{7} e^{x} + e^{x} x^{8}

derivative of 2sinh(2x)

\frac{d}{d x} (2 sinh (2 x))

Frequently Asked Questions (FAQ)

What is the integral of 3/(x^5) ?
The integral of 3/(x^5) is -3/(4x^4)+C