Posted by Andy on .
I tried doing this problem, but I have no idea how to do it, can someone show me how to get it done. Thanks.
Evaluate the indefinate integral
(x^46x)dx

Mathmatics 
drwls,
Add the separate integrals of the two terms.
The integral of x^4 dx is x^5/5.
The integral of 6 x dx is 6*(1/2)x^2 = 3x^2.
Add an arbitrary constant C to the sum.
(x^5)/5  3 x^2 + C 
Mathmatics 
Andy,
Wait, is that the answer

Mathmatics 
Andy,
an would it be (x^5/5) or is the whole rest besides the C on the bottom.

Mathmatics 
drwls,
The answer is the last line I wrote

Mathmatics 
Andy,
I know, but I don't see what you mean
Is 53x^2 all under x^5 
Mathmatics 
drwls,
No. 3x^2 and C are separate additive terms. As I said in the beginning, you add the integrals of each term.

Mathmatics 
Andy,
so, the answer would be like this
(x^5/5)3x^2+C