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Popular >

integral of x^2*2x

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

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

Simplify

x^{2} x : x^{3}

= 2 \cdot \int x^{3} d x

Apply the Power Rule

: \frac{x ^{4}}{4}

= 2 \cdot \frac{x ^{4}}{4}

Simplify

2 \cdot \frac{x ^{4}}{4} : \frac{x ^{4}}{2}

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

Add a constant to the solution

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

Popular Examples

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\int_{0}^{7} \frac{7 t}{( t - 8 ) ^{2}} d t

(\partial)/(\partial x)(sin^2(x)cos^2(y))

\frac{\partial}{\partial x} (sin^{2} (x) cos^{2} (y))

simplify-3 simplify

- 3

f(x)=arccos(e^x)

f (x) = arccos (e^{x})

integral of 2e^x-6x

\int 2 e^{x} - 6 x d x

Frequently Asked Questions (FAQ)

What is the integral of x^2*2x ?
The integral of x^2*2x is (x^4)/2+C