Pertanyaan

Hasil ∫ ( 2 x 3 − 5 ) 5 2 x 2 d x a d a l ah ... (UN 2012)

Hasil $\int \frac{2 x ^{2}}{( 2 x ^{3} - 5 ) ^{5}} d x a d a l ah ...$ (UN 2012)

$fraction numerator negative 2 over denominator 9 square root of left parenthesis 2 x cubed minus 5 right parenthesis cubed end root end fraction plus C$
$fraction numerator negative 2 over denominator 9 square root of left parenthesis 2 x cubed minus 5 right parenthesis to the power of 5 end root end fraction plus C$
$fraction numerator negative 2 over denominator 9 square root of left parenthesis 2 x cubed minus 5 right parenthesis to the power of 7 end root end fraction plus C$
$fraction numerator 2 over denominator 9 square root of left parenthesis 2 x cubed minus 5 right parenthesis cubed end root end fraction plus C$
$fraction numerator 2 over denominator 9 square root of left parenthesis 2 x cubed minus 5 right parenthesis to the power of 7 end root end fraction plus C$

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$u equals 2 x cubed minus 5 fraction numerator d u over denominator d x end fraction equals 6 x squared left right double arrow d x equals fraction numerator d u over denominator 6 x squared end fraction M a k a colon integral fraction numerator 2 x squared over denominator square root of left parenthesis 2 x cubed minus 5 right parenthesis to the power of 5 end root end fraction d x space equals space integral fraction numerator 2 x squared over denominator u to the power of begin display style 5 over 2 end style end exponent end fraction fraction numerator d u over denominator 6 x squared end fraction equals integral 1 third u to the power of negative 5 over 2 end exponent d u equals 1 third. open parentheses negative 2 over 3 close parentheses u to the power of negative 3 over 2 end exponent plus C equals negative 2 over 9 1 over u to the power of begin display style 3 over 2 end style end exponent plus C equals fraction numerator negative 2 over denominator 9 square root of left parenthesis 2 x cubed minus 5 right parenthesis cubed end root end fraction plus C$