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Popular >

integral of 3x^2+1

Solution

\int 3 x^{2} + 1 d x

Solution

x^{3} + x + C

Solution steps

\int 3 x^{2} + 1 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 1 d x

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

\int 1 d x = x

= x^{3} + x

Add a constant to the solution

= x^{3} + x + C

Popular Examples

derivative of 3/(\sqrt[3]{x^4})

derivative of x/(sqrt(x^2+1)-1)

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

(dy)/(dx)=(x^2y-y)/(y+1)

\frac{d y}{d x} = \frac{x ^{2} y - y}{y + 1}

integral of 1/18 x

\int \frac{1}{18} x d x

derivative of-4x^3-sin(x)

\frac{d}{d x} (- 4 x^{3} - sin (x))

Frequently Asked Questions (FAQ)

What is the integral of 3x^2+1 ?
The integral of 3x^2+1 is x^3+x+C