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Solving integrals/ x^(3/4)

Integral of x^(3/4) dx

You have entered [src]

$$\int\limits_{0}^{1} x^{\frac{3}{4}}\, dx$$

Integral(x^(3/4), (x, 0, 1))

Detail solution

The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :

$\int x^{\frac{3}{4}}\, dx = \frac{4 x^{\frac{7}{4}}}{7}$
Add the constant of integration:

$\frac{4 x^{\frac{7}{4}}}{7}+ \mathrm{constant}$

The answer is:

$\frac{4 x^{\frac{7}{4}}}{7}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                    
 |                  7/4
 |  3/4          4*x   
 | x    dx = C + ------
 |                 7   
/

$$\int x^{\frac{3}{4}}\, dx = C + \frac{4 x^{\frac{7}{4}}}{7}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

4/7

$$\frac{4}{7}$$

4/7

$$\frac{4}{7}$$

4/7

Numerical answer [src]

0.571428571428571

0.571428571428571

The graph

Use the examples entering the upper and lower limits of integration.