## All Tasks

#### Definite Integral - MIP (I)

The value of the integral $\int_1^{e}\ln(x)dx$ is:

# Definite integral

Training

13

#### Definite Integral (I)

The value of the integral $\displaystyle \int_0^1 \frac{y}{y^2+1}dy$ is:

# Definite integral

Training

13

#### Definite Integral (B)

If $f$ is a real function of a real variable, is continues and $F'(x)=f(x), \forall x \in \mathbb{R}$, so $\int_1^3 f(2x)dx$ is:

# Definite integral

Training

13

#### Modelling linear functions

Imagine that you want to buy some pens. In the shop near home one pen cost 0,80 euro, online one pen cost 0,60 euro but the shipping fees are 3 euro.
How many pens you have to buy in order to spend the same money in each shop?

# Linear functions

Training

8

#### Two straigh lines intersection

Identify the relative positions of this two straigh lines:
$y=2x-4$
$y=2x-2$

# Linear functions

Learning

8

#### Point of intersection

Determine a possible point of intersection of the given two lines.
$f(x)=0,5x+4,5$
$g(x)=22-3x$

# Linear functions

Training

8