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Popular >

integral of 21x^2

Solution

\int 21 x^{2} d x

Solution

7 x^{3} + C

Solution steps

\int 21 x^{2} d x

Take the constant out:

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

= 21 \cdot \int x^{2} d x

Apply the Power Rule

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

= 21 \cdot \frac{x ^{3}}{3}

Simplify

21 \cdot \frac{x ^{3}}{3} : 7 x^{3}

= 7 x^{3}

Add a constant to the solution

= 7 x^{3} + C

Popular Examples

derivative of-2/(\sqrt[5]{x)}derivative of

integral from-2 to 2 of 3x^2

\int_{- 2}^{2} 3 x^{2} d x

derivative of (cos(2x)/(1-sin(2x)))

\frac{d}{d x} (\frac{cos ( 2 x )}{1 - sin ( 2 x )})

limit as x approaches 0 of (x^5+7x)/x

x \to 0 lim (\frac{x ^{5} + 7 x}{x})

integral of (x^2)/(81+x^2)

\int \frac{x ^{2}}{81 + x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 21x^2 ?
The integral of 21x^2 is 7x^3+C