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Solving integrals/ x^(7/6)

Integral of x^(7/6) dx

You have entered [src]

$$\int\limits_{0}^{1} x^{\frac{7}{6}}\, dx$$

Integral(x^(7/6), (x, 0, 1))

Detail solution

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

$\int x^{\frac{7}{6}}\, dx = \frac{6 x^{\frac{13}{6}}}{13}$
Add the constant of integration:

$\frac{6 x^{\frac{13}{6}}}{13}+ \mathrm{constant}$

The answer is:

$\frac{6 x^{\frac{13}{6}}}{13}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                     
 |                  13/6
 |  7/6          6*x    
 | x    dx = C + -------
 |                  13  
/

$$\int x^{\frac{7}{6}}\, dx = C + \frac{6 x^{\frac{13}{6}}}{13}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

6/13

$$\frac{6}{13}$$

6/13

$$\frac{6}{13}$$

6/13

Numerical answer [src]

0.461538461538462

0.461538461538462

The graph

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