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Popular >

integral of-3x^5

Solution

\int - 3 x^{5} d x

Solution

- \frac{x ^{6}}{2} + C

Solution steps

\int - 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 x^{5} d x

Apply the Power Rule

: \frac{x ^{6}}{6}

= - 3 \cdot \frac{x ^{6}}{6}

Simplify

- 3 \cdot \frac{x ^{6}}{6} : - \frac{x ^{6}}{2}

= - \frac{x ^{6}}{2}

Add a constant to the solution

= - \frac{x ^{6}}{2} + C

Popular Examples

integral of (x-2)(x+3)

\int (x - 2) (x + 3) d x

derivative of f(x)=x^{1/10}derivative of

f (x) = x^{\frac{1}{10}}

limit as x approaches 0 of (1-4x)^{5/x}

x \to 0 lim ((1 - 4 x)^{\frac{5}{x}})

taylor (x/(2-x))^3 taylor

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

(xy-x^2-1)dx+(x^2+1)dy=c

(x y - x^{2} - 1) d x + (x^{2} + 1) d y = c

Frequently Asked Questions (FAQ)

What is the integral of-3x^5 ?
The integral of-3x^5 is -(x^6)/2+C