1. Using Stoke's Theorem, evaluate \( \int_{C} F \cdot d r \) where \( C \) is any closed surface enclosing a square region of the xy plane bounded by the lines \( x= \pm 2, y= \pm 5 \), where \( F=3 y x^{2} i+x^{2} j \)

1: Differentiate from the first principles \( f(x)=\frac{1}{2 x} \)

Deriva lo siguiente \( y=\operatorname{Ln}\left(7 x^{2}-6 x+3\right) \)

Approximate the definite integral using the Trapezoldal Rule with \( n=4 \). Compare the result with the approximation of the integral using a graphing utility. (Round your answers to three decimal places.) \[ \int_{0}^{2} x \ln (x+7) d x \] Trapezoidal graphing utility 4.276

Deriva lo siguiente \( y=\sqrt[3]{2 x^{2}+3 x} \)

Deriva 10 sigulente \( y=e^{-3 x^{2}+7 x} \)