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1. Integral cos (3x+2) dx Misal: u= 3×+2, du= 3 dx , dx= du/3 penyelesaian Int cos u du/3 = 1/3 int cos u = 1/3 sin u + c = 1/3 sin 3x+2 + c
2. Int 8 x cosec^2(6x^2-π) Misal u= 6x^2-π, dx= du/12x Penyelesaian =Int 8x cosec^2 u du/12 x = 8x/12x int cosec^2 u + c = -2/3 cotan u + c = -2/3 cotan 6x^2 - π + c
Misal: u= 3×+2, du= 3 dx , dx= du/3 penyelesaian
Int cos u du/3
= 1/3 int cos u
= 1/3 sin u + c
= 1/3 sin 3x+2 + c
2. Int 8 x cosec^2(6x^2-π)
Misal u= 6x^2-π, dx= du/12x
Penyelesaian
=Int 8x cosec^2 u du/12 x
= 8x/12x int cosec^2 u + c
= -2/3 cotan u + c
= -2/3 cotan 6x^2 - π + c