Pertanyaan

∫ ( 2 1 x 4 + 3 1 x 3 − 1 ) d x = ...

$\int (\frac{1}{2} x^{4} + \frac{1}{3} x^{3} - 1) d x = ...$

L. Marlina

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Pembahasan

Ingat, Maka, Jadi, .

Ingat,

$integral subscript blank a x to the power of n d x equals fraction numerator a over denominator n plus 1 end fraction x to the power of n plus 1 end exponent plus c space comma space n not equal to negative 1$

Maka,

$integral open parentheses 1 half x to the power of 4 plus 1 third x cubed minus 1 close parentheses space straight d x equals fraction numerator 1 half over denominator 5 end fraction x to the power of 5 plus fraction numerator 1 third over denominator 4 end fraction x to the power of 4 minus x plus c space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 5 over 2 x to the power of 5 plus 4 over 3 x to the power of 4 minus x plus c$

Jadi, .