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Integral of d{x}:
Integral of (1-4x^2)^(1/2)
Integral of (sqrt(x)-2)^2/x
Integral of sin³xcosx
Integral of f(x)=3x
Sum of series:
f(x)
Derivative of:
f(x)
3x
f(x)
Graphing y =:
3x
Canonical form:
3x
Identical expressions
f(x)=3x
f(x) equally 3x
fx=3x
f(x)=3xdx
Similar expressions
(x-3)(x+2)
f(x^3)

Solving integrals/ f(x)=3x

Integral of f(x)=3x dx

The solution

You have entered [src]

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

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

Detail solution

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

$\int 3 x\, dx = 3 \int x\, dx$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x\, dx = \frac{x^{2}}{2}$
So, the result is: $\frac{3 x^{2}}{2}$
Add the constant of integration:

$\frac{3 x^{2}}{2}+ \mathrm{constant}$

The answer is:

$\frac{3 x^{2}}{2}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                2
 |              3*x 
 | 3*x dx = C + ----
 |               2  
/

$$\int 3 x\, dx = C + \frac{3 x^{2}}{2}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

3/2

$$\frac{3}{2}$$

=

3/2

$$\frac{3}{2}$$

3/2

Numerical answer [src]

1.5

1.5

The graph

Integral of f(x)=3x dx

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