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$integral x cubed open parentheses x to the power of 4 plus 5 close parentheses to the power of 5 space d x m i s a l x to the power of 4 plus 5 equals U 4 x cubed d x equals d u d x equals fraction numerator d u over denominator 4 x cubed end fraction S u b s t i t u s i space x to the power of 4 plus 5 equals U space d a n space d x equals fraction numerator d u over denominator 4 x cubed end fraction m e n j a d i colon integral x cubed open parentheses x to the power of 4 plus 5 close parentheses to the power of 5 space d x equals integral x cubed U to the power of 5 fraction numerator d u over denominator 4 x cubed end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals integral 1 fourth U to the power of 5 space d u space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 1 fourth over denominator 6 end fraction U to the power of 6 plus C space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 over 24 U to the power of 6 plus C M a k a space h a s i l space i n t e g r a ln y a space a d a l a h integral x cubed open parentheses x to the power of 4 plus 5 close parentheses to the power of 5 space d x equals 1 over 24 U to the power of 6 plus C space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 over 24 open parentheses x to the power of 4 plus 5 close parentheses to the power of 6 plus C$