Pertanyaan

∫ − 2 2 ( 3 x 2 + 4 ) d x = ...

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

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

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$I n t e g r a l space f u n g s i space p o l i n o m space a d a l a h space integral a x to the power of n d x space equals space fraction numerator a over denominator n plus 1 end fraction x to the power of n plus 1 end exponent plus C G u n a k a n space f o r m u l a space d i a t a s space u n t u k space m e n y e l e s a i k a n space i n t e g r a l space d a l a m space s o a l space integral subscript negative 2 end subscript superscript 2 open parentheses 3 x squared plus 4 close parentheses d x equals open square brackets open parentheses fraction numerator 3 over denominator 2 plus 1 end fraction x to the power of 2 plus 1 end exponent close parentheses plus open parentheses fraction numerator 4 over denominator 0 plus 1 end fraction x to the power of 0 plus 1 end exponent close parentheses close square brackets subscript negative 2 end subscript superscript 2 equals open square brackets x cubed plus 4 x close square brackets subscript negative 2 end subscript superscript 2 equals open parentheses 2 cubed plus 4 left parenthesis 2 right parenthesis close parentheses space minus space open parentheses negative 2 cubed plus 4 left parenthesis negative 2 right parenthesis close parentheses equals 8 plus 8 space minus space left parenthesis negative 8 minus 8 right parenthesis equals 16 minus left parenthesis negative 16 right parenthesis equals 32$ .