hasil Integral (6x²+4x)√(x³+x²-7) dx=hasil Integral (6x²+4x)√(x³+x²-7) dx=
Matematika
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Pertanyaan
hasil Integral (6x²+4x)√(x³+x²-7) dx=hasil Integral (6x²+4x)√(x³+x²-7) dx=
1 Jawaban
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1. Jawaban nabnabs
misalin
u=x^3+x^2-7
du=3x^2+2x dx
2du=6x^2+4x dx
integral(6x^2+4x)√(x^3+x^2-7) dx
=integral 2u^(1/2) du
=4/3 u^(3/2)+c
=4/3 (x^3+x^2+7)^(3/2) + c
^ dibaca pangkat