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Popular >

integral of-6sqrt(x)

Solution

\int - 6 x d x

Solution

- 4 x^{\frac{3}{2}} + C

Solution steps

\int - 6 x d x

Take the constant out:

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

= - 6 \cdot \int x d x

Apply the Power Rule

: \frac{2}{3} x^{\frac{3}{2}}

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

Simplify

- 6 \cdot \frac{2}{3} x^{\frac{3}{2}} : - 4 x^{\frac{3}{2}}

= - 4 x^{\frac{3}{2}}

Add a constant to the solution

= - 4 x^{\frac{3}{2}} + C

Popular Examples

integral of 2/(x^{1/3)}

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

integral of e^{9x-7}

\int e^{9 x - 7} d x

integral of ((1+sin(x))^2)/(cos^2(x))

\int \frac{( 1 + sin ( x ) ) ^{2}}{cos ^{2} ( x )} d x

integral of cos(αx)

\int cos (αx) d x

integral of xsqrt(2x+4)

\int x 2 x + 4 d x

Frequently Asked Questions (FAQ)

What is the integral of-6sqrt(x) ?
The integral of-6sqrt(x) is -4x^{3/2}+C