Find the area under the curve defined by \( f(x) = 2x + 1 \) between the points \( x = 1 \) and \( x = 3 \).

\( F(x)=\int_{1}^{\pi} \frac{\cos t}{t} d t \) siendo \( x \geq 1 \)

25) \( \lim _{x \rightarrow 0} \frac{|x-2|}{x-2}= \) ? \( \begin{array}{lllll}\text { A) }-\infty & \text { B) Limit yoktur } & \text { C) } 1 & \text { D) } \infty & \text { E) }-1\end{array} \)

14) If \( y=\sin x+\sec x, x=3 \pi z \), then \( \frac{d y}{d z}=\ldots \ldots \ldots \). At \( z=1 \) \( \begin{array}{llll}\text { a) } 3 \pi & \text { b) }-3 \pi & \text { c) }-6 \pi & \text { d) }-1\end{array} \) b

Determine the critical points of the function \[ f(x)=\left\{\begin{array}{ll}x^{3}+6 x^{2} & \text { if } x \leq 0 \\ x^{2}-4 x & \text { if } x>0\end{array}\right. \] in the interval \( [-7,7] \). A \( (-4,32),(0,0),(2,-4) \) B \( (-7,63),(-4,0),(0,0),(2,0),(7,10) \) C \( (-4,0),(0,0),(2,0) \) D \( (-7,63),(0,0),(7,21) \)

1) \( y=\cos ^{-1}(\sin x) \Rightarrow y^{\prime}=? \) A) \( -\frac{\cos x}{|\cos x|} \) B) \( \frac{\cos x}{|\cos x|} \) C) \( -\frac{\cos x}{\sqrt{1-x^{2}}} \) D) \( \frac{\cos x}{\sqrt{1-x^{2}}} \) E) \( -\frac{\sin x}{\sqrt{1-x^{2}}} \)