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Hasil begin mathsize 12px style integral 3 x squared square root of open parentheses 2 x cubed plus 5 close parentheses end root d x end style = ...

  1. begin mathsize 12px style 3 over 4 open parentheses 2 x cubed plus 5 close parentheses square root of open parentheses 2 x cubed plus 5 close parentheses end root C end style

  2. begin mathsize 12px style 1 half open parentheses 2 x cubed plus 5 close parentheses square root of open parentheses 2 x cubed plus 5 close parentheses end root C end style

  3. begin mathsize 12px style 2 over 5 open parentheses 2 x cubed plus 5 close parentheses square root of open parentheses 2 x cubed plus 5 close parentheses end root C end style

  4. begin mathsize 12px style 1 third open parentheses 2 x cubed plus 5 close parentheses square root of open parentheses 2 x cubed plus 5 close parentheses end root C end style

  5. begin mathsize 12px style 1 over 6 open parentheses 2 x cubed plus 5 close parentheses square root of open parentheses 2 x cubed plus 5 close parentheses end root C end style

Y. Laksmi

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Mahasiswa/Alumni Universitas Negeri Semarang

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begin mathsize 12px style u equals 2 x cubed plus 5  d u equals 6 x squared plus d x  1 half d u equals 3 x squared d x end style

begin mathsize 12px style integral 3 x squared square root of open parentheses 2 x cubed plus 5 close parentheses end root d x equals integral 1 half square root of u d u  equals 1 half integral u to the power of 1 half end exponent d u  equals 1 half open square brackets fraction numerator 1 over denominator begin display style 1 half end style plus 1 end fraction times u to the power of 1 half plus 1 end exponent close square brackets plus C  equals 1 half open square brackets 2 over 3 times u to the power of 3 over 2 end exponent close square brackets plus C  equals 1 third u to the power of 3 over 2 end exponent plus C  equals 1 third open parentheses 2 x cubed plus 5 close parentheses to the power of 3 over 2 end exponent plus C  equals 1 third open parentheses 2 x cubed plus 5 close parentheses to the power of 1 open parentheses 2 x cubed plus 5 close parentheses to the power of 1 half end exponent plus C  equals 1 third open parentheses 2 x cubed plus 5 close parentheses square root of open parentheses 2 x cubed plus 5 close parentheses end root plus C end style

 

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Tentukan hasil integral fungsi aljabar berikut. ∫−12​x(x2−3)3dx

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