Integral dari f(x) = 5x^4-4x^3+3x^2+2x+1
Matematika
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Pertanyaan
Integral dari f(x) = 5x^4-4x^3+3x^2+2x+1
1 Jawaban
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1. Jawaban Ajengput
integral 5x^4-4x^3+3x^2+2x+1
= integral 5x^4 - integral 4x^3 + integral 3x^2 + integral 2x + integral 1
= (5/4+1 x^4+1) - (4/3+1 x^3+1) + ( 3/2+1 x^2+1) + (2/1+1 x^1+1) + (1/0+1 x^0+1)
= (5/5 x^5) - (4/4 x^4) + (3/3 x^3) + (2/2 x^2) + (1/1 x^1)
= x^5 - x^4 + x^3 + x^2 + x