Exercícios
Integrais Indefinidas
a) ∫√2x dx
∫√2x dx = √2 . ∫ x dx = x² = √2 . x² = √2 x² + c
2 2 2
b) ∫5√x dx
∫5√x dx = ∫ x1/5 dx = x 1/5 + 1 = x 6/5 = x6/5 . 5 = 5x6/5 = 5 5√x6 + c
1/5 + 1 6/5 1 6 6 6
c) ∫x0,7dx
∫x0,7dx = x0,7 +1 = x1,7 + c
0,7+1 1,7
d) ∫x-3/8 dx
∫x-3/8 dx = x-3/8 + 1 = x5/8 = x5/8 . 8 = 8x5/8 = 8 8√x5 + c
-3/8+1 5/8 1 5 5 5
e) ∫x9/5 dx
∫x9/5 dx = = x9/5 + 1 = x14/5 = x14/5 . 5 = 5x14/5 = 5 5√x14 + c
9/5+1 14/5 1 14 14 14
