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Tentukan hasil integral tentu fungsi-fungsi berikut! 3. ∫ 2 3 ( 10 x 4 + 4 x 3 ) d x

Tentukan hasil integral tentu fungsi-fungsi berikut!

3. $\int_{2}^{3} (10 x^{4} + 4 x^{3}) d x$

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$begin mathsize 14px style integral subscript 2 superscript 3 open parentheses 10 x to the power of 4 plus 4 x cubed close parentheses d x equals integral subscript 2 superscript 3 10 x to the power of 4 d x plus integral subscript 2 superscript 3 4 x cubed d x 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 space space space space equals right enclose right enclose fraction numerator 10 over denominator 4 plus 1 end fraction x to the power of 4 plus 1 end exponent end enclose subscript 2 superscript 3 plus fraction numerator 4 over denominator 3 plus 1 end fraction x to the power of 3 plus 1 end exponent end enclose subscript 2 superscript 3 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 space space space space equals right enclose 2 x to the power of 5 end enclose subscript 2 superscript 3 plus right enclose x to the power of 4 end enclose subscript 2 superscript 3 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 space space space space equals open parentheses 2 left parenthesis 3 right parenthesis to the power of 5 minus 2 left parenthesis 2 right parenthesis to the power of 5 close parentheses plus open parentheses 3 to the power of 4 minus 2 to the power of 4 close parentheses 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 space space space space equals left parenthesis 486 minus 64 right parenthesis plus left parenthesis 81 minus 16 right parenthesis 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 space space space space equals 487 end style$