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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

integral from 0 to x of (2t^2+sqrt(t))

\int_{0}^{x} (2 t^{2} + t) d t

limit as x approaches infinity of x_{1}

x \to \infty lim (x_{1})

integral of (8-x)

\int (8 - x) d x

derivative of f(x)=sqrt(x^2-1)derivative of

f (x) = x^{2} - 1

area 7x-x^2,2x,(0,10)area

7 x - x^{2}, 2 x, (0, 10)

Frequently Asked Questions (FAQ)

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