00:01
Hi, from the question given that here we need to find the indefinite integral and check the results by differentiation.
00:09
So, first consider the given integral integral x square minus 4 the whole cube 2x dx.
00:20
So, here 2 times of integral x square minus 4 whole cube x dx.
00:29
Now, u is equal to x square minus 4.
00:34
So, du is equal to 2x dx.
00:38
So, x dx is equal to du by 2.
00:43
So, that the above integration became 2 times of the integral u cube du by 2.
00:51
So, this 2 and this 2 will get cancelled.
00:53
So, when we integrating this we obtain u to the power of 4 divided by plus c.
00:57
C is the integrating constant...
