00:01
Hi, now we are going to find f of x.
00:03
Now the given f dash of x is equal to 6x minus 3 divided by x power 4 with the condition f of 1 is equal to 7.
00:14
Now f of x can be written as integral of f dash of x into dx.
00:21
So, this will be equal to integral 6x minus 3 divided by x power 4 into dx.
00:29
After integration this will be equal to 3x square plus 1 divided by x cube plus c.
00:36
Now we have to substitute the given condition.
00:39
So, i am going to put x is equal to 1.
00:42
Then we get f of 1 is equal to 3 plus 1 plus c and this will be equal to 7.
00:50
From this we get the value of c is equal to 3.
00:53
Then our f of x will be equal to 3x square plus 1 divided by x cube plus 3.
01:04
And in the second question the given f double dash of x is equal to 6 minus 6x minus 60 x cube.
01:15
Now f dash of x is equal to integral f double dash of x into dx.
01:24
So, we have f dash of x is equal to integral 6 minus 6x minus 60 x cube into dx.
01:35
After integration this will be equal to 6x minus 3x square minus 15x power 4 plus c.
01:44
Now we are going to substitute the given condition...
