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Evaluate
Solution:
Consider the given equation above
There are two ways in getting the integral of the given equation with respect to x.
1st Method: We can do the integral of each term by power formula as follows
Therefore,
where C is the constant of integration.
2nd Method: We can do the integral of the whole function by power formula as follows
where u is a function of x and du is the differential of a function with respect to x. In this case, let's consider again the given equation
If u = (x - 7), then du = dx. Since, the power formula is applicable to the given equation, then we can integrate the given equation by power formula as follows
Therefore,
where C is the constant of integration.