Pertanyaan

∫ − 2 2 ( 3 x 2 + 4 ) d x = ....

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

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$integral subscript a superscript b a x to the power of n d x equals open square brackets fraction numerator a over denominator n plus 1 end fraction x to the power of n plus 1 end exponent close square brackets subscript a superscript b equals open parentheses fraction numerator a over denominator n plus 1 end fraction b to the power of n plus 1 end exponent close parentheses minus open parentheses fraction numerator a over denominator n plus 1 end fraction a to the power of n plus 1 end exponent close parentheses integral subscript negative 2 end subscript superscript 2 left parenthesis 3 x squared plus 4 right parenthesis d x equals open square brackets x cubed plus 4 x close square brackets subscript negative 2 end subscript superscript 2 space space space space space space space space space space space space space space space space space space space space space space space space space space equals left parenthesis left parenthesis 2 right parenthesis cubed plus 4 left parenthesis 2 right parenthesis right parenthesis minus left parenthesis left parenthesis negative 2 right parenthesis cubed plus 4 left parenthesis negative 2 right parenthesis right parenthesis space space space space space space space space space space space space space space space space space space space space space space space space space space equals left parenthesis 16 right parenthesis minus left parenthesis negative 16 right parenthesis space space space space space space space space space space space space space space space space space space space space space space space space space space equals 32$