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Popular >

integral of+1/(7x^5)

Solution

\int + \frac{1}{7 x ^{5}} d x

Solution

- \frac{1}{28 x ^{4}} + C

Solution steps

\int \frac{1}{7 x ^{5}} d x

Take the constant out:

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

= \frac{1}{7} \cdot \int \frac{1}{x ^{5}} d x

Apply the Power Rule

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

= \frac{1}{7} (- \frac{1}{4 x ^{4}})

Simplify

\frac{1}{7} (- \frac{1}{4 x ^{4}}) : - \frac{1}{28 x ^{4}}

= - \frac{1}{28 x ^{4}}

Add a constant to the solution

= - \frac{1}{28 x ^{4}} + C

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\int_{0}^{\frac{π}{6}} (tan (x))^{2} d x

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

(\partial)/(\partial x)(-3/(x^2))

\frac{\partial}{\partial x} (- \frac{3}{x ^{2}})

implicit (dy)/(dx),y=x^{-10cos(x)}implicit derivative

\frac{d y}{d x}, y = x^{- 10 c o s (x)}

Frequently Asked Questions (FAQ)

What is the integral of+1/(7x^5) ?
The integral of+1/(7x^5) is -1/(28x^4)+C