Mister Exam

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Integral of d{x}:
Integral of 1/5x
Integral of x^3*exp(x^2)
Integral of lnx/sqrtx
Integral of x^2*e^(x^3)
Graphing y =:
x^(-3/4)
Limit of the function:
x^(-3/4)
Identical expressions
x^(- three / four)
x to the power of ( minus 3 divide by 4)
x to the power of ( minus three divide by four)
x(-3/4)
x-3/4
x^-3/4
x^(-3 divide by 4)
x^(-3/4)dx
Similar expressions
x^(3/4)

Solving integrals/ x^(-3/4)

Integral of x^(-3/4) dx

The solution

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

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

Detail solution

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

$\int \frac{1}{x^{\frac{3}{4}}}\, dx = 4 \sqrt[4]{x}$
Add the constant of integration:

$4 \sqrt[4]{x}+ \mathrm{constant}$

The answer is:

$4 \sqrt[4]{x}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                     
 |                      
 |  1              4 ___
 | ---- dx = C + 4*\/ x 
 |  3/4                 
 | x                    
 |                      
/

$$\int \frac{1}{x^{\frac{3}{4}}}\, dx = C + 4 \sqrt[4]{x}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$4$$

Numerical answer [src]

3.9999347679106

3.9999347679106

The graph

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

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Identical expressions

Similar expressions

Integral of x^(-3/4) dx

Limits of integration:

The graph:

Piecewise:

The solution