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Popular >

integral of (2x^5)

Solution

\int (2 x^{5}) d x

Solution

\frac{x ^{6}}{3} + C

Solution steps

\int 2 x^{5} d x

Take the constant out:

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

= 2 \cdot \int x^{5} d x

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

= \frac{x ^{6}}{3} + C

Popular Examples

(xdy)/(dx)+y=-8xy^2,y(1)=5

\frac{x d y}{d x} + y = - 8 x y^{2}, y (1) = 5

derivative of f(x)= x/4 arcsin(x)derivative of

f (x) = \frac{x}{4} arcsin (x)

x y^{^{'}} + y = x^{3}

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

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

(\partial)/(\partial x)(x^3+8y^3-6xy+5)

\frac{\partial}{\partial x} (x^{3} + 8 y^{3} - 6 x y + 5)

Frequently Asked Questions (FAQ)

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