1.integral ((x+3)(x-3))/x^2 2.integral (3x^2-5X^2+11)/x^2 tolong dibantu y. butuh banget soalnya
Matematika
Felicia2702
Pertanyaan
1.integral ((x+3)(x-3))/x^2
2.integral (3x^2-5X^2+11)/x^2
tolong dibantu y. butuh banget soalnya
2.integral (3x^2-5X^2+11)/x^2
tolong dibantu y. butuh banget soalnya
1 Jawaban
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1. Jawaban DB45
Integral Tak Tentu
∫ a xⁿ dx = a/(n+1) x^(n+1) + C
1.
∫ (x+3)(x-3) / x² dx = ∫(x² - 9)(x⁻²) dx
= ∫ x²⁻² - 9 x⁻² dx
= ∫ 1 - 9x⁻² dx = x - 9/(-1) x⁻¹ + c
= x + 9/x + c
= (x² +9)/x + c
= 1/x (x² +9) + c
2.
∫ (3x² - 5x² +11) /(x²) dx
= ∫ (- 2x² +11)(x⁻²) dx
= ∫ (-2 + 11 x⁻²) dx
= - 2x - 11x⁻¹ + c
= -2x - 11/x + c
= - 1/x (2x² + 11) + c
.