1) f x^-4dx = - (1/3x³)

2) f(4/3x³-3/4x²+5)dx = f 4/3x³dx - f 3/4x²dx + f 5dx = 1/3x⁴-1/4x³+5x

3) f (2x²-1)²dx= f 4x⁴-4x²+1dx = f 4x⁴dx - f 4x²dx + f 1dx= 4x⁵/5-4x³/3+x

4) f x³-10x⁵+x⁷/x dx= f x(x²-10x⁴+x⁶) / x dx = f x²-10x⁴+x⁶ dx= f x²dx - f 10x⁴dx + f x⁶dx= x³/3 - 2x⁵+ x⁷/7

7) f (e^x + 2x)dx= f e^x dx + f 2x dx = e^x + x²

8) f (sinx-5)dx= f sinxdx - f 5dx = - cosx - 5x

9) f sin x/4 dx = f 4sintdt = 4×f sintdt = 4×(-cost)= 4×(-cos(x/4)) = -4cosx/4

P.S. в конце, всем нужно добавить "+С , С€R"