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Popular >

integral of 3x^2+2x

Solution

\int 3 x^{2} + 2 x d x

Solution

x^{3} + x^{2} + C

Solution steps

\int 3 x^{2} + 2 x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

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

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

= x^{3} + x^{2}

Add a constant to the solution

= x^{3} + x^{2} + C

Popular Examples

limit as x approaches 2 of x^3-5x

x \to 2 lim (x^{3} - 5 x)

limit as x approaches-6+of sqrt(x+6)

x \to - 6 + lim (x + 6)

derivative of 3\sqrt[3]{x^2}-2x

integral of 1/(sqrt(cos(x)+cos^2(x)))

\int \frac{1}{cos ( x ) + cos ^{2} ( x )} d x

(\partial)/(\partial z)(ln(1+xy)-z)

\frac{\partial}{\partial z} (ln (1 + x y) - z)

Frequently Asked Questions (FAQ)

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