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Popular >

integral of (3x^2)

Solution

\int (3 x^{2}) d x

Solution

x^{3} + C

Solution steps

\int 3 x^{2} d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

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

= x^{3}

Add a constant to the solution

= x^{3} + C

Popular Examples

(\partial)/(\partial x)(sin^2(3xy^2-y))

\frac{\partial}{\partial x} (sin^{2} (3 x y^{2} - y))

implicit (dy)/(dx),y=11^x implicit derivative

\frac{d y}{d x}, y = 1 1^{x}

derivative of (x^2-3e^x)

\frac{d}{d x} ((x^{2} - 3) e^{x})

integral of (3x^2+1)/(x^5-x)

\int \frac{3 x ^{2} + 1}{x ^{5} - x} d x

slope ofintercept (0.5)(-2.4)slope intercept

(0.5) (- 2.4)

Frequently Asked Questions (FAQ)

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