Pertanyaan

Hasil dari 0 ∫ 4 3 x x 2 + 9 d x adalah....

Hasil dari $0 \int 4 3 x x^{2} + 9 d x$ adalah....

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

A. C

Master Teacher

Jawaban terverifikasi

Pembahasan

$integral from 0 to 4 of 3 x square root of x squared plus 9 end root space d x equals integral from 0 to 4 of 3 x open parentheses x squared plus 9 close parentheses to the power of 1 half end exponent space d x m i s a l colon x squared plus 9 equals U 2 x space d x equals d u d x equals fraction numerator d u over denominator 2 x end fraction S u b s t i t u s i space space x squared plus 9 equals U space d a n space d x equals fraction numerator d u over denominator 2 x end fraction space m e n j a d i colon integral 3 x open parentheses x squared plus 9 close parentheses to the power of 1 half end exponent space d x equals integral 3 x space U to the power of 1 half end exponent space fraction numerator d u over denominator 2 x end fraction 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 integral 3 over 2 space U to the power of 1 half end exponent space d u 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 fraction numerator 3 over 2 over denominator 3 over 2 end fraction U to the power of 3 over 2 end exponent plus C 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 U to the power of 3 over 2 end exponent plus C H a s i l space i n t e r g r a ln y a space a d a l a h integral 3 x open parentheses x squared plus 9 close parentheses to the power of 1 half end exponent space d x equals U to the power of 3 over 2 end exponent plus C 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 x squared plus 9 close parentheses to the power of 3 over 2 end exponent plus C M a k a space h a s i l space o p e r a sin y a space a d a l a h integral from 0 to 4 of 3 x open parentheses x squared plus 9 close parentheses to the power of 1 half end exponent space d x equals open square brackets open parentheses x squared plus 9 close parentheses to the power of 3 over 2 end exponent close square brackets subscript 0 superscript 4 equals open parentheses 4 squared plus 9 close parentheses to the power of 3 over 2 end exponent minus open parentheses 0 squared plus 9 close parentheses to the power of 3 over 2 end exponent equals open parentheses 25 close parentheses to the power of 3 over 2 end exponent minus open parentheses 9 close parentheses to the power of 3 over 2 end exponent equals 125 minus 27 equals space 98$