Question

15(1,2)буду благодарна

Answer 1

1) ∫(x^1/2 - x^1/3 + x^1/4)/х)  dx = ∫(x^(1/2 -1) + х^(1/3 -1) + х^(1/4 -1) )dx =

=∫(x^(-1/2) + х^(-2/3) + х^(-3/4) ) dx =2x^1/2 +3x^1/3 + 4x^1/4 + C =

=2√x +3∛x +4 ⁴√x  +С

2) = ∫(x^(3/4 -1) + x^(2/3 -1) + x^(1/2 -1))dx =

=∫(x^(-1/4) + x^(-1/3) + x^(-1/2) ) dx = 4⁴√x³ / 3 +3∛х²/2 + 2√х +С