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

intsqrt(ax + b) dx .

d/dx (ax+b)^(cx+d) =

int (ax^(2) + bx + c) dx

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

Integrate the functions f'(ax+b)[f(ax+b)]^(n)

Prove that the Binomial theorem (a + b)^(n) = ""^(n)C_(0)a^(n) + ""^(n)C_(1)a^(n - 1)b + ""^(n)C_(2)a^(n - 2)b^(2) + .. ""^(n)C_(n)b^(n) for any positive integer 'n'.

Find dy/dx if y= sin(ax+b)

If y= sin(ax+b) find (dy)/(dx)

Evaluate : int sin(ax+b)cos(ax+b)dx .

Evaluate : int_(0)^(1)x(1-x)^(n)dx