Mister Exam

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How to use it?
Integral of d{x}:
Integral of 1÷x
Integral of (x+2)e^x
Integral of √(1+x²)
Integral of 1/cos^2(x)
Derivative of:
3*x
Graphing y =:
3*x
Limit of the function:
3*x
Identical expressions
three *x
3 multiply by x
three multiply by x
3x
3*xdx
Similar expressions
sin2x*cos3xdx
sin(2-3x)dx
xsin(3x)dx

Solving integrals/ 3*x

Integral of 3*x 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 3*x dx

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