Matematika

Pertanyaan

Carilah antiturunan F(x)+C apabila diketahui
1.f(x)=3x^2+4x
2.f(x)=x^2(7x^4+4x-2)
3.f(x)=3/x^4 +1/x^6

1 Jawaban

  • ingat ∫ax^n = a/n+1 x^n+1 + C
    1. ∫ (3x² +4x)dx = 3/3 x^3 + 4/2x^2+ C
    = x^3 + 2x² + C
    2.∫ (7x^6 + 4x^3 -2x²) dx
    = 7/7x^7 + 4/4 x^4 -2/3 x^3 + C
    = x^7 + x^4 - 2/3 x^3 +C
    3.∫ (3x^-4 + x^-6) dx = 3/-3 x^-3 + 1/-5x^-5 +C= -x^-3 + -1/5 x^-5 +C

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