Question

F(x)=lnx^3+4×6^x как решать

Answer 1

$F(x) = ln(x {}^{3} ) + 4 \times{6}^{x}$

$f(x) = \int ln (x {}^{3} ) + 4 \times 6 {}^{x} dx = \int 3 ln(x ) dx + 4 \int {6}^{x} dx = 3 \int ln(x) dx + 4 \frac{6 {}^{x} }{ ln(6) } = 3(x ln(x) - x) + \frac{4}{ ln(6) } {6}^{x} = 3x ln(x) - 3x + \frac{4}{ ln(6) } {6}^{x}$

$f(x) = 3x ln(x) - 3x + \frac{4}{ ln(6) } {6}^{x}$