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which the variable is raised is ‘1’. The power rule is used to find the anti-derivative for any function which

contains a variable raised to an exponent.According to the power rule any function which has the variable

raised to the power ‘n’ is written as ‘x

derivative of the function ‘x’ is 1x

Here the given function is f(x) = x + 6x

The anti-derivative of x is 1/2 * x

Using the power rule, the anti-derivative of 6x

Therefore, the anti-derivative of 6x

Here the given function is f(x) = 15 - 3x.

The anti-derivative of x is 1/2 x

Using the power rule, the anti-derivative of 15 has to be found.

15 can be written as 15 x

Therefore, the anti-derivative of 15 x