Pertanyaan

H a s i l d a r i ∫ ( 3 1 x 3 + 7 x + 8 ) d x = ...

$H a s i l d a r i \int (\frac{1}{3} x^{3} + 7 x + 8) d x = ...$

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Pembahasan

$I n t e g r a l space f u n g s i space p o l i n o m space a d a l a h space integral a x to the power of n d x space equals space fraction numerator a over denominator n plus 1 end fraction x to the power of n plus 1 end exponent plus C G u n a k a n space f o r m u l a space d i a t a s space u n t u k space m e n y e l e s a i k a n space i n t e g r a l space d a l a m space s o a l space integral open parentheses 1 third x cubed plus 7 x plus 8 close parentheses d x equals open parentheses fraction numerator begin display style 1 third end style over denominator 3 plus 1 end fraction x to the power of 3 plus 1 end exponent close parentheses plus open parentheses fraction numerator 7 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent close parentheses plus open parentheses fraction numerator 8 over denominator 0 plus 1 end fraction x to the power of 0 plus 1 end exponent close parentheses plus C equals 1 over 12 x cubed plus 7 over 2 x squared plus 8 x plus C$