00:01
In this question, we are asked to find the most general antiderivative of the function f.
00:05
In other words, we are asked to calculate the indefinite integral of the function f.
00:11
This equals to the integral of 1 .5 x squared minus 2x plus 7 dx.
00:20
And we are going to use the power rule to calculate this integral.
00:24
By the power rule, the integral of x squared, we need to add 1 to the exponent and divide by the new exponent.
00:32
So we are going to get x cube over 3 minus 2 multiplied by.
00:39
Now we are going to use the same rule.
00:41
We need to add 1 to the exponent and divide by the new exponent.
00:44
Since x can be written as x to the first power, we are going to get x squared over 2.
00:51
Plus 7 and basically same rule holds here...