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int(ax+b)^(2)dx...

`int(ax+b)^(2)dx`

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Evaluate: int(ax+b)^(3)dx

Evaluate : int(ax+b)^(3)dx.

By substitution: Theorem: If int(ax+b)^(n)dx=((ax+b)^(n+1))/(a)(n+1)

int x(ax+b)^(1/2)dx

Find value of int (ax+b)^(3//2) dx .

" (b) "int x(ax+b)^(1/2)dx

int (ax^(2)-b)(dx)/(x sqrt(c^(2))x^(2) -(ax^(2) + b^(2))^(2)

The value of int((ax^(2)-b)dx)/(x sqrt(c^(2)x^(2)-(ax^(2)+b)^(2))) is equal to

int(1)/((ax+b)^(2))dx