Mister Exam

Lang:

Other calculators

How to use it?
Integral of d{x}:
Integral of 3x^4
Integral of sin⁴xcos⁴x
Integral of 15e^(5x)-3
Integral of 8cos4x-2sqrt(x)+e^(5x+2)
Graphing y =:
3x^4
Derivative of:
3x^4
Identical expressions
3x^ four
3x to the power of 4
3x to the power of four
3x4
3x⁴
3x^4dx
Similar expressions
(7*x^5-3*x^4+x^2)/x^2
x^3(x^4+1)^5

Solving integrals/ 3x^4

Integral of 3x^4 dx

The solution

You have entered [src]

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

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

Detail solution

The integral of a constant times a function is the constant times the integral of the function:

$\int 3 x^{4}\, dx = 3 \int x^{4}\, dx$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{4}\, dx = \frac{x^{5}}{5}$
So, the result is: $\frac{3 x^{5}}{5}$
Add the constant of integration:

$\frac{3 x^{5}}{5}+ \mathrm{constant}$

The answer is:

$\frac{3 x^{5}}{5}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                  
 |                  5
 |    4          3*x 
 | 3*x  dx = C + ----
 |                5  
/

$${{3\,x^5}\over{5}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

3/5

$${{3}\over{5}}$$

=

3/5

$$\frac{3}{5}$$

Simplify

Numerical answer [src]

0.6

0.6

The graph

Integral of 3x^4 dx

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