Tolong bantu jawab nomor 5,6 dan 7

jawab

5.
∫ (x² - x^(1/2) + 4) dx
= 1/3 x³ - 2/3 x√x + 4x + c


6. ∫ √(x + 5x) dx
= ∫ √(6x)  dx 
= ∫ √6 . x^(1/2) dx
= √6. (2/3 x √x)  + c
= 2/3 x √(6x) + c

7. ∫(3x) / √(1 - x²)

u = 1 - x²
du  = -2x dx
3x dx =  - 3/2 du

∫ (3x) (1 - x²)^(-1/2)
= ∫ - 3/2 (u)^(-1/2) du
= - 3/2 (2) (u)^(1/2) + c
= - 3 √u + c
= -3 √(1- x²) + c