Pertanyaan

∫ ( x 5 + 3 x 2 + 1 ) d x = ....

$\int (x^{5} + 3 x^{2} + 1) d x = ....$

W. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

.

integral space open parentheses x to the power of 5 plus 3 x squared plus 1 close parentheses space straight d x equals 1 over 6 x to the power of 6 plus x cubed plus x plus C

Pembahasan

Ingat kembali: Maka: Jadi, .

Ingat kembali:

$integral space a space straight d x equals a x plus C integral space open parentheses a x to the power of n close parentheses space straight d x equals fraction numerator a over denominator n plus 1 end fraction x to the power of n plus 1 end exponent plus C$

Maka:

integral space open parentheses x to the power of 5 plus 3 x squared plus 1 close parentheses space straight d x equals 1 over 6 x to the power of 6 plus x cubed plus x plus C

Jadi, integral space open parentheses x to the power of 5 plus 3 x squared plus 1 close parentheses space straight d x equals 1 over 6 x to the power of 6 plus x cubed plus x plus C .