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Tentukan hasil integral tentu fungsi-fungsi berikut! 4. ∫ − 1 2 ( 3 x 2 − 4 x − 2 ) d x

Tentukan hasil integral tentu fungsi-fungsi berikut!

4. $\int_{- 1}^{2} (3 x^{2} - 4 x - 2) d x$

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$begin mathsize 14px style integral subscript negative 1 end subscript superscript 2 open parentheses 3 x squared minus 4 x minus 2 close parentheses d x equals integral subscript negative 1 end subscript superscript 2 3 x squared d x minus integral subscript negative 1 end subscript superscript 2 4 x space d x minus integral subscript negative 1 end subscript superscript 2 2 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 space equals open parentheses right enclose fraction numerator 3 over denominator 2 plus 1 end fraction x to the power of 2 plus 1 end exponent end enclose subscript negative 1 end subscript superscript 2 close parentheses minus open parentheses right enclose fraction numerator 4 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent end enclose subscript negative 1 end subscript superscript 2 close parentheses minus open parentheses right enclose fraction numerator 2 over denominator 0 plus 1 end fraction x to the power of 0 plus 1 end exponent end enclose subscript negative 1 end subscript superscript 2 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 space equals right enclose x cubed end enclose subscript negative 1 end subscript superscript 2 minus right enclose 2 x squared end enclose subscript negative 1 end subscript superscript 2 minus right enclose 2 x end enclose subscript negative 1 end subscript superscript 2 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 space equals open parentheses 2 cubed minus left parenthesis negative 1 right parenthesis cubed close parentheses minus open parentheses 2 left parenthesis 2 right parenthesis squared minus 2 left parenthesis negative 1 right parenthesis squared close parentheses minus open parentheses 2 left parenthesis 2 right parenthesis minus 2 left parenthesis negative 1 right parenthesis 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 space equals 9 minus 6 minus 6 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 space equals negative 3 end style$