aso a resolver: lecular el área bajo la curva de \( f(x)=3 x^{3}+2 \)

Let \( y=x^{x}+\cos (x) \). Find \( y^{\prime} \).

\( \sum_{n=0}^{\infty} \frac{\cos (n \pi)}{n+5} \) converge conditionty, absolutedy, or diverge?

\( \frac { n ! } { ( n + 1 ) ^ { n } } = \)

\( \frac { ( n + 1 ) ! } { ( n + 1 ) ^ { n + 1 } } = \frac { n ! ( n + 1 ) } { ( n + 1 ) ^ { n } ( n + 1 ) } = \frac { n ! } { n ^ { n } ( \frac { n + 1 } { n } ) ^ { n } } = \frac { n ! } { n ^ { n } ( 1 + \frac { 1 } { n } ) ^ { n } } \)

Using Fundamental Theorem of Calculus: Part One, find the following: 1. Given \( f(t)=\left(2+t^{4}\right)^{5} \) and \( g(x)=\int_{1}^{x}\left(2+t^{4}\right)^{5} d t \), what is \( g^{\prime}(x)= \) ?