1 . Tentukan hasil pengintegralan berikut!! A. Intergal 2x akar x dx B. Intergal 5/ akar x dx C. Intergal 8 akar x /x^3 D. Intergal x^3+2x^2+8 / x^5 dx E.
Matematika
Poniyem098
Pertanyaan
1 . Tentukan hasil pengintegralan berikut!!
A. Intergal 2x akar x dx
B. Intergal 5/ akar x dx
C. Intergal 8 akar x /x^3
D. Intergal x^3+2x^2+8 / x^5 dx
E. Intergal x^2 (akar x -1) dx
F. Intergal akar x (x+1) dx
Pliss , bantu dong
A. Intergal 2x akar x dx
B. Intergal 5/ akar x dx
C. Intergal 8 akar x /x^3
D. Intergal x^3+2x^2+8 / x^5 dx
E. Intergal x^2 (akar x -1) dx
F. Intergal akar x (x+1) dx
Pliss , bantu dong
1 Jawaban
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1. Jawaban Khay14
Int 2x√x dx
= Int 2x^(3/2) dx
= 2/(5/2) . x^(5/2) + C
= (4/5)x² √x + C
Int 5/√x dx
= Int 5x^(-1/2) dx
= 5/(1/2) x^(1/2) + C
= 10√x + C
Int 8√x /x³ dx
= Int 8x^(-5/2) dx
= 8/(-3/2) x^(-3/2) + C
= (-16/3)/(x√x) + C