Matematika

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Tentukan integral nya Ka
Tentukan integral nya Ka

1 Jawaban

  • Integral Tak Tentu

    gunakan rumus  ∫ a xⁿ dx  = a/(n+1) xⁿ+¹ + c

    a. ∫ 2 x² dx  = 2/(2+1) x²⁺¹  + c  = 2/3 x³ + c
    b. ∫- 6x⁵ dx = -6/(5+1) x⁵⁺¹ + c = -6/6 x⁶ + c = - x⁶ + c
    c. ∫ x¹² dx = 1/(12+1) x¹²⁺¹ + c = 1/13 x¹³ + c
    d. ∫ -10x³⁹ dx = -10/(39+1) x³⁹⁺¹ + c = 10/40 x⁴⁰ + c = 1/4 x⁴⁰
    e. ∫- 4 x⁻⁵ dx =  -4/(-5+1) x⁻⁵⁺¹ + c = -4/-4 x⁻⁴ + c = x⁻⁴ + c
    f. ∫ 20 x⁵ dx = 20/(5+1) x⁵⁺¹ + c = 20/6 x⁶ + c
    g. ∫5/x⁶ dx = ∫ 5 x⁻⁶ dx = 5/(-6+1) x⁻⁶⁺¹ +c = 5/-5 x⁻⁵ + c
    = - x⁻⁵  +c
    = -1/(x⁵) + c

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