00:01
We are given this function over here and we want to integrate it respect to x, x from 0 to 5.
00:08
Now in general, when i want to integrate ax plus b to the power n respect to x, just be ax plus b, add 1 to the power, divide by the new power n plus 1 and divide by the a next to the x plus c.
00:27
So in this case, let me change the square root to power half.
00:37
And using this, you can see that n is actually half.
00:44
And a is actually 4.
00:47
B is 6.
00:49
So use the results here.
00:57
Or i can just guide you.
00:59
So integrating 6 plus 4x to power half.
01:02
So just keep the 6 plus 4x, add 1 to the power, divide by the new power, and divide by the 4 next to the x.
01:14
Now this is kept within the lower upper limit of 0 and 5.
01:20
So what do we have here? we have 6 plus 4x to the power of 3 over 2, divided by 6.
01:30
Now the 1 over 6 here is constant, it can be kept outside.
01:37
And so we're just evaluating 6 plus 4x to the power of 3 over 2.
01:44
Now, sub in the upper limit of 5 into the x...