Here, we show you a step-by-step solved example of basic integrals. This solution was automatically generated by our smart calculator:
Simplify the fraction $\frac{x^2}{\sqrt{x}}$ by $x$
Multiply $2$ times $2$
Subtract the values $4$ and $-1$
Simplify the expression
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 $\frac{3}{2}$
Simplify the addition $\frac{3}{2}+1$
Any expression multiplied by $1$ is equal to itself
Add the values $3$ and $2$
Simplify the addition $\frac{3}{2}+1$
Any expression multiplied by $1$ is equal to itself
Add the values $3$ and $2$
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 $\frac{3}{2}$
Divide fractions $\frac{\sqrt{x^{5}}}{\frac{5}{2}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$
As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$
Access detailed step by step solutions to thousands of problems, growing every day!