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Hasil dari $begin mathsize 14px style 4 integral fourth root of x over 16 end root open parentheses fraction numerator open parentheses 1 minus fourth root of x close parentheses squared over denominator 2 fourth root of x end fraction plus 1 close parentheses d x end style$ adalah ...

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H. Nufus

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Pehatikan perhitungan berikut:

$begin mathsize 14px style 4 integral fourth root of x over 16 end root open parentheses fraction numerator open parentheses 1 minus fourth root of x close parentheses squared over denominator 2 fourth root of x end fraction plus 1 close parentheses d x equals 4 integral fraction numerator fourth root of x over denominator fourth root of 16 end fraction open parentheses fraction numerator open parentheses 1 minus fourth root of x close parentheses squared over denominator 2 fourth root of x end fraction plus 1 close parentheses d x blank equals 4 integral fraction numerator fourth root of x over denominator 2 end fraction open parentheses fraction numerator open parentheses 1 minus fourth root of x close parentheses squared over denominator 2 fourth root of x end fraction plus 1 close parentheses d x equals integral 4 times open parentheses fraction numerator fourth root of x over denominator 2 end fraction close parentheses open parentheses fraction numerator open parentheses 1 minus fourth root of x close parentheses squared over denominator 2 fourth root of x end fraction plus 1 close parentheses d x equals integral 2 fourth root of x open parentheses fraction numerator open parentheses 1 minus fourth root of x close parentheses squared over denominator 2 fourth root of x end fraction plus 1 close parentheses d x equals integral open parentheses open parentheses 2 fourth root of x close parentheses open parentheses fraction numerator open parentheses 1 minus fourth root of x close parentheses squared over denominator 2 fourth root of x end fraction close parentheses plus 2 fourth root of x close parentheses d x equals integral open parentheses open parentheses 1 minus fourth root of x close parentheses squared plus 2 fourth root of x close parentheses d x equals integral open parentheses open parentheses 1 minus x to the power of 1 fourth end exponent close parentheses squared plus 2 x to the power of 1 fourth end exponent close parentheses d x equals integral open parentheses open parentheses 1 minus x to the power of 1 fourth end exponent close parentheses times open parentheses 1 minus x to the power of 1 fourth end exponent close parentheses plus 2 x to the power of 1 fourth end exponent close parentheses d x equals integral open parentheses open parentheses 1 minus x to the power of 1 fourth end exponent minus x to the power of 1 fourth end exponent plus x to the power of 1 fourth end exponent times x to the power of 1 fourth end exponent close parentheses plus 2 x to the power of 1 fourth end exponent close parentheses d x equals integral open parentheses open parentheses 1 minus 2 x to the power of 1 fourth end exponent plus x to the power of 1 half end exponent close parentheses plus 2 x to the power of 1 fourth end exponent close parentheses d x equals integral open parentheses 1 minus 2 x to the power of 1 fourth end exponent plus x to the power of 1 half end exponent plus 2 x to the power of 1 fourth end exponent close parentheses d x equals integral open parentheses 1 plus x to the power of 1 half end exponent close parentheses d x equals x plus 2 over 3 times x to the power of 3 over 2 end exponent plus C end style$