Pertanyaan

$\mathrm{Hasil}\;\mathrm{dari}\;\int(4x^3\;\textemdash2x^{2\;}+\;3x\;\textemdash\;4)dx\;=\;....\;\\\\\;\;$

$x to the power of 4 space long dash space fraction numerator 2 over denominator 3 space end fraction x cubed space plus space 3 over 2 x to the power of 2 space end exponent long dash 4 x plus space C space$

S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

$I n t e r g r a l space f u n g s i space p o l i n o m space a d a l a h integral a x to the power of n d x equals fraction numerator a over denominator n plus 1 end fraction x to the power of n plus 1 end exponent plus C G u n a k a n space f o r m u l a space d i a t a s space u n t u k space m e n y e l e s a i k a n space i n t e r g r a l space d a l a m space s o a l integral left parenthesis 4 x cubed minus 2 x squared plus 3 x minus 4 right parenthesis d x equals fraction numerator 4 over denominator 3 plus 1 end fraction x to the power of 3 plus 1 end exponent minus fraction numerator 2 over denominator 2 plus 1 end fraction x to the power of 2 plus 1 end exponent plus fraction numerator 3 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent minus 4 x plus C equals x to the power of 4 minus 2 over 3 x cubed plus 3 over 2 x squared minus 4 x plus C$