hitunglah niai dari integral berikut

Penyelesaian:

a. [tex] \int\limits^5_1 {(5x^2 + 3)} \, dx [/tex]
= 5/3.x^3 + 3x ] 1->5
= (5/3(125) + (15)) - (5/3 + 3)
= (625+45)/ 3 - 14/3
= 656/3

b. [tex] \int\limits^3_-2 {x^3 \sqrt{x} } \, dx [/tex]
= 2/9 . x^9/2 ] -2->3
= (2/9(81).√3) - (2/9(16).√-2)
= 18√3 - 32/9√-2  (imajiner)

c. [tex] \int\limits^3_-2 { \frac{1}{x^4} } \, dx [/tex]
= -1/3.x^-3 ] -2->3
= -1/3x^3 ] -2->3
= (-1/3(27)) - (1/24)
= -1/81 - 1/24
= -24-81/1944
= -105/1944