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Beka777777
@Beka777777
August 2022
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Vas61
342. a)f(x)=2-x³+1/x³=2-x³+x⁻³
F(x)=2x-x⁴/4+x⁻³⁺¹/-3+1=2x-x⁴/4-1/2x²+C
б)f(x)=x-2/x⁵+cosx=x-2x⁻⁵+cosx
F(x)=x²/2+1/2x⁴+sinx+C
в)f(x)=1/x²-sinx=x⁻²-sinx
F(x)=-1/x+cosx+C
г)f(x)=5x²-1
F(x)=5x³/3-x+C
343. a)f(x)=(2x-3)⁵
F(x)=(2x-3)⁶/12+C
б)f(x)=3sin2x
F(x)=-3cos2x/2+C
в)f(x)=(4-5x)⁷
F(x)=-(4-5x)⁸/40+C
г)f(x)=-1/3·cos(x/3-π/4)
F(x)=-sin(x/3-π/4)+C
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Answers & Comments
F(x)=2x-x⁴/4+x⁻³⁺¹/-3+1=2x-x⁴/4-1/2x²+C
б)f(x)=x-2/x⁵+cosx=x-2x⁻⁵+cosx
F(x)=x²/2+1/2x⁴+sinx+C
в)f(x)=1/x²-sinx=x⁻²-sinx
F(x)=-1/x+cosx+C
г)f(x)=5x²-1
F(x)=5x³/3-x+C
343. a)f(x)=(2x-3)⁵
F(x)=(2x-3)⁶/12+C
б)f(x)=3sin2x
F(x)=-3cos2x/2+C
в)f(x)=(4-5x)⁷
F(x)=-(4-5x)⁸/40+C
г)f(x)=-1/3·cos(x/3-π/4)
F(x)=-sin(x/3-π/4)+C