8. (ax +bx +c)dx
The integral is,
y = ∫ ( a x 2 + b x + c ) d x
Here, y is the solution of integral.
Use the formula of ∫ x n d x = x n + 1 n + 1 + A , where A is constant.
y = ∫ ( a x 2 + b x + c ) d x = ∫ ( a x 2 + b x + c ) d x = a ∫ x 2 d x + b ∫ x d x + c ∫ d x = a x 3 3 + b x 2 2 + c x + A
Thus, the solution of integral is a x 3 3 + b x 2 2 + c x + A .
The integral is,
Here,
Use the formula of
Thus, the solution of integral is
