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ivanmlerner
 2 years ago
Best ResponseYou've already chosen the best response.1The opposite of derivative is integration, so in a you need to integrate once and on b, twice. Since the indefinite integral (with no limits of integration) gives you an arbitrary constant that disapears when you derivate, you need a way to find that constant because any number would satisfy the derivative formula since it would disapear when you derivated, thats why they give you one value of the function you want to find. Is it too confusing the way I explained or you got it?

krypton
 2 years ago
Best ResponseYou've already chosen the best response.0b was the confusing one,so am to integrate tcosx 2twice?

ivanmlerner
 2 years ago
Best ResponseYou've already chosen the best response.1Yes, because you are derivating twice, but then you get 2 arbitrary constants.

krypton
 2 years ago
Best ResponseYou've already chosen the best response.0whats this for dy(0)/dx=2 what do i need it for?

krypton
 2 years ago
Best ResponseYou've already chosen the best response.0my first integration i got txsin(x)+c

ivanmlerner
 2 years ago
Best ResponseYou've already chosen the best response.1Your integration is fine and now you need to determine c, thats when you use dy(0)/dx=2, because by integrating once, you got dy/dx

krypton
 2 years ago
Best ResponseYou've already chosen the best response.0so how do i use this dy(0)/dx=2?

ivanmlerner
 2 years ago
Best ResponseYou've already chosen the best response.1txsin(x)+c=dy/dx so t*0sin(0)+c=2 Do you understand that?

krypton
 2 years ago
Best ResponseYou've already chosen the best response.0so what about the y(0)=2?

ivanmlerner
 2 years ago
Best ResponseYou've already chosen the best response.1you have dy/dx, but you want y, so you integrate again, and youll need this to find the other constant.

ivanmlerner
 2 years ago
Best ResponseYou've already chosen the best response.1So, did you got the answer?

krypton
 2 years ago
Best ResponseYou've already chosen the best response.0i will integrate this txsin(x)+c again?

ivanmlerner
 2 years ago
Best ResponseYou've already chosen the best response.1because it is equal to dy/dx, and you want y

krypton
 2 years ago
Best ResponseYou've already chosen the best response.0i got (tx^2/2)+cos(x)+c

ivanmlerner
 2 years ago
Best ResponseYou've already chosen the best response.1you forgot to sonsider the constant of the previous integration

ivanmlerner
 2 years ago
Best ResponseYou've already chosen the best response.1There will be two constants in this case, because its the second derivative.

ivanmlerner
 2 years ago
Best ResponseYou've already chosen the best response.1Yep thats it, but keep in mind that the c's are different, and the first one you should already have it as a number

krypton
 2 years ago
Best ResponseYou've already chosen the best response.0the 1st one is 2 right?

krypton
 2 years ago
Best ResponseYou've already chosen the best response.0ok thanks alot for your help :)
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