SOLUTION: ∫5x^4/x^5+1
The answer is In(x^5+1)+c. I know how to integrate but I don't know how to get to this answer. Can you show me the working to get to this answer?
Many Than
Algebra.Com
Question 523313: ∫5x^4/x^5+1
The answer is In(x^5+1)+c. I know how to integrate but I don't know how to get to this answer. Can you show me the working to get to this answer?
Many Thanks
Andrew
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Just use a simple substitution and that is all. By letting u = x^5 + 1 and, du/dx = 5x^4, du = 5x^4 dx,
This is equal to
where C is a constant.
RELATED QUESTIONS
Can anyone help me solve this problem?
Solve for x
4^(5x-3) = 1
I know the answer... (answered by rahman)
{{{((15/x)-5)/(x-3)}}}, simplify with rationalizing and substitute in 3 for x. The answer (answered by josgarithmetic,MathTherapy)
I have this exponential equation that I cannot seem to solve:
5^x = 4^x+1
I didn't... (answered by greenestamps,ikleyn)
Correct and explain why this is wrong 0/(-5) = -5 I know the correct answer is 0 but... (answered by MathLover1)
I dont get this can you please help me :
5(x-3)+2=3(x+1)
i know the answer is 8 but i... (answered by KMST)
how to solve .08-.01(x+1)=-0.02(4-x) I know the answer is 5 but I can't get to 5. Please (answered by Boreal,MathLover1,josgarithmetic)
Can you please show me step by step how to get this answer for the problem
-1/2-5/6 x =... (answered by josgarithmetic,Edwin McCravy)
(x+5)/2+(2x-1)/5=5
I know the answer I just don't know how to get to... (answered by algebrahouse.com)
I don;t know how to solve this.... (answered by Fombitz,MathTherapy)