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Popular >

integral of 7/(x^3)

Solution

\int \frac{7}{x ^{3}} d x

Solution

- \frac{7}{2 x ^{2}} + C

Solution steps

\int \frac{7}{x ^{3}} d x

Take the constant out:

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

= 7 \cdot \int \frac{1}{x ^{3}} d x

Apply the Power Rule

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

= 7 (- \frac{1}{2 x ^{2}})

Simplify

7 (- \frac{1}{2 x ^{2}}) : - \frac{7}{2 x ^{2}}

= - \frac{7}{2 x ^{2}}

Add a constant to the solution

= - \frac{7}{2 x ^{2}} + C

Popular Examples

derivative of y=x^{10}e^x derivative of

y = x^{10} e^{x}

y^{''}-5y^'+6y=t^2

y^{^{''}} - 5 y^{^{'}} + 6 y = t^{2}

2xydx-(1+y)dy=0

2 x y d x - (1 + y) d y = 0

integral of (3x)/(5x^2-1)

\int \frac{3 x}{5 x ^{2} - 1} d x

integral of 5sqrt(x)

\int 5 x d x

Frequently Asked Questions (FAQ)

What is the integral of 7/(x^3) ?
The integral of 7/(x^3) is -7/(2x^2)+C