Tentukan nilai ∫(5ex+31​x3−x4​)dx

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Tentukan nilai begin mathsize 14px style integral open parentheses 5 e to the power of x plus 1 third x cubed minus 4 over x close parentheses text d end text x end style

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F. Ayudhita

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begin mathsize 14px style integral open parentheses 5 e to the power of x plus 1 third x cubed minus 4 over x close parentheses text d end text x end stylebegin mathsize 14px style equals integral subscript blank 5 e to the power of x d x plus integral subscript blank 1 third x cubed d x minus integral subscript blank 4 over x d x end style 

                              begin mathsize 14px style equals 5 integral subscript blank e to the power of x d x plus 1 third integral subscript blank x cubed d x minus 4 integral subscript blank 1 over x d x equals 5 e to the power of x plus 1 third open parentheses fraction numerator 1 over denominator 3 plus 1 end fraction x to the power of 3 plus 1 end exponent close parentheses minus 4 open parentheses ln open parentheses open vertical bar x close vertical bar close parentheses close parentheses plus C equals 5 e to the power of x plus 1 over 12 x to the power of 4 minus 4 ln open parentheses open vertical bar x close vertical bar close parentheses plus C end style

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