confused with integral by substitution

[nanase]

please help,
Im doing a topic on integration by substitution, I can do the straight forward one, but the last one is putting me on halt.
Ive been trying to open some brackets, multiply some parts here and there, but still couldnt do this one.
please help me. thanks

 

[LCKurtz]

Hint: Put the [MATH]x^4[/MATH] in the parentheses with the [MATH](x+1)^4[/MATH].

 

[pka]

This is a very confusing posting!
Look HERE. You need to learn how to use the available on line resources!

 

[nanase]

This is a very confusing posting!
Look HERE. You need to learn how to use the available on line resources!

may I ask you what is very confusing posting about that equation?
It is exactly as written in the book.

Also I asked how to do it by substitution method, not by expanding everything then integrate like your website did.

 

[LCKurtz]

Also I asked how to do it by substitution method, not by expanding everything then integrate like your website did.

Did you try the hint I gave in post #2?

 

[nanase]

Did you try the hint I gave in post #2?

yes sir, I multiplied the brackets, but still not sure how i can do the cancellation

 

[Steven G]

What cancellation.

You really need to write the integral sign and the dx. The dx is most important.

[MATH]\int[/MATH]x⁴(x+1)⁴(2x+1)dx = [MATH]\int[/MATH](x² + x)⁴(2x+1)dx

Now make a substitution.