Integral dari a) (1 - 36x²) dx b) (³√x² - ⁴√x³) dx c) (1 + √x)² / ³√x dx Mohon bantuannya kak!!
Matematika
Fajar150500
Pertanyaan
Integral dari
a) (1 - 36x²) dx
b) (³√x² - ⁴√x³) dx
c) (1 + √x)² / ³√x dx
Mohon bantuannya kak!!
a) (1 - 36x²) dx
b) (³√x² - ⁴√x³) dx
c) (1 + √x)² / ³√x dx
Mohon bantuannya kak!!
1 Jawaban
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1. Jawaban Anonyme
a)
Int (1 - 36x²) dx
= x - 12x³ + C
b)
Int (³√x² - ⁴√x³) dx
= Int (x^(2/3) - x^(3/4)) dx
= (3/5)x^(5/3) - (4/7)x^(7/4) + C
c)
Int (1 + √x)² / ³√x dx
= Int (1 + 2√x + x)/x^(1/3) dx
= Int (x^(-1/3) + x^1/6 + x^2/3) dx
= (3/2)x^2/3 + (6/7)x^7/6 + (3/5)x^5/3 + C