Integral. Mohon Bantuannya a. J(x-3)(x+5) dx b. J(x^2+4x)^2 dx c. Jx+3/ dx x^3
Matematika
Donisaja
Pertanyaan
Integral.
Mohon Bantuannya
a. J(x-3)(x+5) dx
b. J(x^2+4x)^2 dx
c. Jx+3/ dx
x^3
Mohon Bantuannya
a. J(x-3)(x+5) dx
b. J(x^2+4x)^2 dx
c. Jx+3/ dx
x^3
1 Jawaban
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1. Jawaban Anonyme
jwab
integral
1. ∫(x -3)(x+5) dx =
= ∫ (x² + 2x - 15) dx
= 1/3 x³ + x² -15 x + c
2. ∫(x² -4x)² dx
= ∫ (x⁴ - 8 x³ + 16 x²) dx
= 1/5 x⁵ - 2x⁴ + 16/3 x³+ c
3. ∫ (x + 3) x⁻³ dx
= ∫ (x⁻² ++ 3 x⁻³ ) dx
= - 1/x³ + 3/(2x²) + c