Mister Exam

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Integral of d{x}:
Integral of e^(-x)/sqrt(x)
Integral of 8/x^2
Integral of (1+x^2)^0.5
Integral of 2*t
Identical expressions
- zero . two *x
minus 0.02 multiply by x
minus zero . two multiply by x
-0.02x
-0.02*xdx
Similar expressions
(200-0.02x^2-150)
0.02*x

Solving integrals/ -0.02*x

Integral of -0.02*x dx

The solution

You have entered [src]

$$\int\limits_{0}^{10} \left(- \frac{x}{50}\right)\, dx$$

Integral(-x/50, (x, 0, 10))

Detail solution

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

$\int \left(- \frac{x}{50}\right)\, dx = - \frac{\int x\, dx}{50}$
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: $- \frac{x^{2}}{100}$
Add the constant of integration:

$- \frac{x^{2}}{100}+ \mathrm{constant}$

The answer is:

$- \frac{x^{2}}{100}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                
 |                2
 | -x            x 
 | --- dx = C - ---
 |  50          100
 |                 
/

$$\int \left(- \frac{x}{50}\right)\, dx = C - \frac{x^{2}}{100}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

-1

$$-1$$

=

-1

$$-1$$

-1

Numerical answer [src]

-1.0

-1.0

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