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# Integral Calculus Calculator

## Get detailed solutions to your math problems with our Integral Calculus step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

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###  Difficult Problems

1

Here, we show you a step-by-step solved example of integral calculus. This solution was automatically generated by our smart calculator:

$\int 3x^2dx$
2

The integral of a function times a constant ($3$) is equal to the constant times the integral of the function

$3\int x^2dx$

Apply the power rule for integration, $\displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}$, where $n$ represents a number or constant function, such as $2$

$3\frac{x^{\left(2+1\right)}}{2+1}$

Add the values $2$ and $1$

$3\frac{x^{\left(2+1\right)}}{3}$

Add the values $2$ and $1$

$3\frac{x^{3}}{3}$
3

Apply the power rule for integration, $\displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}$, where $n$ represents a number or constant function, such as $2$

$3\left(\frac{x^{3}}{3}\right)$
4

Simplify the fraction $3\left(\frac{x^{3}}{3}\right)$

$x^{3}$
5

As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$

$x^{3}+C_0$

##  Final answer to the problem

$x^{3}+C_0$

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