Matematika

Pertanyaan

Selesaikanlah integral di bawah ini ; a.[ -3x^-1/4 dx b.[ 2 3/4x^1 2/3 dx c.[ -100x^4 dx

1 Jawaban

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    a. ∫ -3x^-1/4  dx = -3/(-1/4 +1) x^(-1/4 +1) +c
    = -3/(3/4) x^(3/4) + c
    = -4 x^(3/4) + c
    b. ∫2 3/4 x^(1 2/3) dx = (11/4) ( 1/(5/3 +1)) x ^(5/3 +1) +c
    = (11/4)(3/8) x^8/3 + c
    = 33/32 . x^8/3 + c
    c. ∫-100x^4 dx = - 100 / (4+1)  x^(4+1) = -100/5 x^5
    = -20 x^5 + c

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