Pertanyaan

Tentukan nilai ∫ ( 5 e x + 3 1 x 3 − x 4 ) d x

Tentukan nilai $\int (5 e^{x} + \frac{1}{3} x^{3} - \frac{4}{x}) d x$

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style equals 5 integral subscript blank e to the power of x d x plus 1 third integral subscript blank x cubed d x minus 4 integral subscript blank 1 over x d x equals 5 e to the power of x plus 1 third open parentheses fraction numerator 1 over denominator 3 plus 1 end fraction x to the power of 3 plus 1 end exponent close parentheses minus 4 open parentheses ln open parentheses open vertical bar x close vertical bar close parentheses close parentheses plus C equals 5 e to the power of x plus 1 over 12 x to the power of 4 minus 4 ln open parentheses open vertical bar x close vertical bar close parentheses plus C end style$