#### Area R-A

By application of the definite integral, determine the value of $k$ knowing that the area $A$ is $18m^2$.

# Application

Training
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#### Area T-A 2

The area of the figure can be calculated by:

# Application

Training
13

#### Area T-B

The area of the figure can be calculated by:

# Application

Training
13

#### Area T-I

The area of the figure can be calculated by:

# Application

Training
13

#### Definite Integral - IS (A)

Consider the integral $\displaystyle I=\int_{0}^{a} 2\sqrt{a^2-x^2}dx$ and the change of variable $x=a \sin(t)$. So $I$ comes equal to:

# Definite integral

Reasoning
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#### Definite Integral - IS (I)

Consider the integral $\displaystyle I=\int_{\frac{\pi}{4}}^{\frac{\pi}{3}} f(x)dx$ and the change of variable $x= \arctan(t)$. So $I$ comes equal to:

# Definite integral

Reasoning
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