integral (1-x) (1+x ) dx
Matematika
wisnu371
Pertanyaan
integral (1-x) (1+x ) dx
1 Jawaban
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1. Jawaban LOVEJOY
Integral
∫ (1 - x)(1 + x) dx
= ∫ 1(1 - x) - x(1 + x) dx
= ∫ 1 - x + (-x - x²) dx
= ∫ 1 + (0 - x²) dx
= ∫ -x² + 1 dx
= - ∫ x² dx + ∫ 1 dx
= -1/3 x^3 + x + C