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Popular >

integral of 10x^4

Solution

\int 10 x^{4} d x

Solution

2 x^{5} + C

Solution steps

\int 10 x^{4} d x

Take the constant out:

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

= 10 \cdot \int x^{4} d x

Apply the Power Rule

: \frac{x ^{5}}{5}

= 10 \cdot \frac{x ^{5}}{5}

Simplify

10 \cdot \frac{x ^{5}}{5} : 2 x^{5}

= 2 x^{5}

Add a constant to the solution

= 2 x^{5} + C

Popular Examples

area y=25-x^2,(0,5)area

y = 25 - x^{2}, (0, 5)

derivative of (t^2+9)e^t derivative of

(t^{2} + 9) e^{t}

inverse oflaplace (-4e^{(-s)})/((s^2-4s+3))inverse laplace

\frac{- 4 e ^{(- s)}}{( s ^{2} - 4 s + 3 )}

y^'=(t+y)^2-1,y(2)=4

y^{^{'}} = (t + y)^{2} - 1, y (2) = 4

integral of x(x-1)^3

\int x (x - 1)^{3} d x

Frequently Asked Questions (FAQ)

What is the integral of 10x^4 ?
The integral of 10x^4 is 2x^5+C