grasping the basics of integration (1 Viewer)

[Mathman26]

i really dont get the basics of indefinite integration. Can someone do this question and explain each step. I get all of diffrientiation.

~ 3x/(4x+5)dx

 

[Prashant Sallan]

ill do it for you @ 10:30 if no one else has done it for you..

 

[Timothy.Siu]

S 3x/(4x+5)dx
= 3/4 S 4x/(4x+5)dx
=3/4 S (4x+5-5)/(4x+5)
=3/4 S 1-5/(4x+5) dx
=3/4(x-5/4 ln(4x+5))+C

i think

 

[GUSSSSSSSSSSSSS]

S 3x/(4x+5)dx
= 3/4 S 4x/(4x+5)dx
=3/4 S (4x+5-5)/(4x+5)
=3/4 S 1-5/(4x+5) dx
=3/4(x-5/4 ln(4x+5))+C

i think

yeh all good =]]]

 

[Timothy.Siu]

thanks,

also u could just divide the top by the bottom, but u'd get the same results as what i did.

 

[GUSSSSSSSSSSSSS]

thanks,

also u could just divide the top by the bottom, but u'd get the same results as what i did.

tbh i prefer the method you used...dividing just seems more disorganised lol

 

[Trebla]

i really dont get the basics of indefinite integration. Can someone do this question and explain each step. I get all of diffrientiation.

~ 3x/(4x+5)dx

That question isn't a typical integration question. If you can't do it, it's not necessarily because you don't understand integration, it just means you need to know how to manipulate expressions appropriately.
Do you understand why:
∫ x dx = x²/2 + c?
If you do, that's pretty much everything you need to know about indefinite integration...the rest is just manipulating algebra lol

 

[shaon0]

That question isn't a typical integration question. If you can't do it, it's not necessarily because you don't understand integration, it just means you need to know how to manipulate expressions appropriately.
Do you understand why:
∫ x dx = x²/2 + c?
If you do, that's pretty much everything you need to know about indefinite integration...the rest is just manipulating algebra lol

Will we ever be asked to integrate a function using 1st principles?

 

[jet]

nah. That's only differentiation.

 

[cwalker]

Practice till your hand cannot move.

 

[Prashant Sallan]

i don't know, might be the long way of doing it.. but it works out for me.. :rofl:

 

[jet]

i don't know, might be the long way of doing it.. but it works out for me.. :rofl:

Thats pretty much the same way that Tim did it.

 

[shaon0]

nah. That's only differentiation.

good because it's in some textbooks.

 

[Prashant Sallan]

Thats pretty much the same way that Tim did it.

Tim used a way faster method though.. sigh