Mister Exam

Integral of 1-5*x dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1             
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 |  (1 - 5*x) dx
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$$\int\limits_{-1}^{1} \left(1 - 5 x\right)\, dx$$
Integral(1 - 5*x, (x, -1, 1))
Detail solution
  1. Integrate term-by-term:

    1. The integral of a constant is the constant times the variable of integration:

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

      1. The integral of is when :

      So, the result is:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                          2
 |                        5*x 
 | (1 - 5*x) dx = C + x - ----
 |                         2  
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$$\int \left(1 - 5 x\right)\, dx = C - \frac{5 x^{2}}{2} + x$$
The graph
The answer [src]
2
$$2$$
=
=
2
$$2$$
2
Numerical answer [src]
2.0
2.0

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