Integral (x^2+1)^3.2x dx=

Integral (x^2+1)^3.2x dx=

Penyelesaian:

∫ (x^2 + 1)^3 . 2x dx

misal

u = x^2 + 1

du = 2x dx

∫ u^3 . 2x . du/2x

1 . ∫ . u^3 + C

= 1 . 1/4 . u^4 + C

= 1/4 . u^4 + C

= 1/4 (x^2 + 1)^4 + C

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Kelas: 11

Mapel: Matematika

Bab: Integral Tak Tentu

Kode: 11.2.10

Kata Kunci: integral, substitusi