Integrate the following functions with respect to x (a) int (5x^2 + 3x -2) dx (b) int (4sin x-(2)/(x)) dx (c) int (dx)/(4x+5) (d) int (6x +2)^(3) dx
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a). It is given that ,
F(x) = 5x^2 + 3x -2
.) Now we have to find §F(x)dx.
Where,
§F(x)dx = § ( 5x^2 + 3x - 2) dx
§F(x)dx = [5x^3 / 3 + 3x^2 / 2 - 2x +c]
b). It is given that ,
F(x) = 4sinx - 2/x
.) Now we have to find §F(x)dx.
Where ,
§F(x)dx = §(4sinx - 2/x)dx
§F(x)dx = [-4cosx -2logx +c]
c). It is given that ,
F(x) = 1 / (4x + 5)
.) Now we have to find §F(x)dx.
Where ,
§F(x)dx = § [1 / (4x + 5)]dx
§F(x)dx = [ log(4x + 5) / 4 + c ]
d). It is given that ,
F(x) = (6x + 3)^3
Now we have to find §F(x)dx.
Where ,
§F(x)dx = § [ (6x + 3)^3 ]dx
§F(x)dx = [ (6x + 3)^4 / 24 + c ]
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