1) ∫ cos(3x-2)dx = =
d(3x-2) = 3 dx
dx = d(3x-2) / 3
= = ∫ cos(3x-2) d(3x-2) / 3 = 1/3 ∫ cos(3x-2) d(3x-2) = 1/3 sin(3x-2) + C
2) ∫ 5ax⁴ dx = 5a ∫ x⁴ dx = 5a * x^5/5 + C = a x^5 + C
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1) ∫ cos(3x-2)dx = =
d(3x-2) = 3 dx
dx = d(3x-2) / 3
= = ∫ cos(3x-2) d(3x-2) / 3 = 1/3 ∫ cos(3x-2) d(3x-2) = 1/3 sin(3x-2) + C
2) ∫ 5ax⁴ dx = 5a ∫ x⁴ dx = 5a * x^5/5 + C = a x^5 + C