3. If \( F(x)=x^{3}+a x+b \) has relative miclimum value of - 6 at \( x=\partial \) firld the value af " \( a \) " and " \( b \) "

Найдите неопределенный интеграл: \( \, \int (3x^2 + 2x - 1) \, dx \)

\( y ^ { \prime \prime } - ( \lambda _ { 1 } + \lambda _ { 2 } ) y ^ { \prime } + \lambda _ { 1 } \lambda _ { 2 } y = 0 , y = C _ { 1 } e ^ { \lambda _ { 1 } x } + C _ { 2 } e ^ { \lambda _ { 2 } x } \)

A function \( f \) is defined as \( f(x)=\frac{5}{(x+2)^{2}}-\frac{2}{x+2} \) for \( x>0 \). Find an expression for \( f^{\prime}(x) \) and determine whether \( f \) is an increasing function, a decreasing function or aeither.

Evaluate the integrals i) \( \int_{2}^{4} \int_{0}^{x} \int_{0}^{x+y} z d x d y d x \)

8.- Obtener el Volumen encerrado por las superficies: \( x^{2}+y^{2}=4 ; x+z=2 \); \( y=4 ; x=0 ; z=0 \) (Primer octante).