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Ruchi.
Group Title
please tell to how to solve question related to calclus and where &how to use integration &differentiation?
 one year ago
 one year ago
Ruchi. Group Title
please tell to how to solve question related to calclus and where &how to use integration &differentiation?
 one year ago
 one year ago

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satellite73 Group TitleBest ResponseYou've already chosen the best response.0
rather a broad question, isn't it?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
Calculus Questions are easy to solve once you know the formulas :) integration is used in finding are of solids, figures, etc. differentiation can be used to find rate of change of a quantity. and both of these have many other applications.. if you have any specific question, you please ask :)
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
finding area*
 one year ago

Ruchi. Group TitleBest ResponseYou've already chosen the best response.0
\[gm/l \int\limits_{l/2}^{+l/2}(rx)^2dx\]
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
you need to first expand (rx)^2 =.... ?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
\[(ab)^2=a^22ab+b^2 \\ (rx)^2 =... ?\]
 one year ago

Ruchi. Group TitleBest ResponseYou've already chosen the best response.0
\[r^22rx+x^2\]
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
thats correct, now \[\int x^n dx=x^{n+1}/(n+1) \\ \int x^2dx=... ?\]
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
it will be x^3/3 , as n+1 =3 \[ \int\limits_{l/2}^{+l/2}(x^22rx+r^2)dx\\= \int\limits_{l/2}^{+l/2}x^2dx2r\int\limits_{l/2}^{+l/2}x dx+r^2\int\limits_{l/2}^{+l/2}1dx = \\ =[x^3/3]_{l/2}^{+l/2} 2r [x^2/2]_{l/2}^{+l/2}+r^2[x]_{l/2}^{+l/2}\] got this ?
 one year ago

Ruchi. Group TitleBest ResponseYou've already chosen the best response.0
why u hav taken 2r &r out?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
because when we are integrating with respect to x, 'r' will be constant and can be taken out of integration and differentiation..
 one year ago

Ruchi. Group TitleBest ResponseYou've already chosen the best response.0
how u will know that x is a constant? or any digit or letter is a constant?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
do you see 'dx' in integration, ? means only 'x' is variable, all other letters are treated to be constant.
 one year ago

Ruchi. Group TitleBest ResponseYou've already chosen the best response.0
the letter attach to d like dx always only that letter r variable?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
sorry, yes. only that letter is variable. so here r is constant, x is variable.
 one year ago

Ruchi. Group TitleBest ResponseYou've already chosen the best response.0
okay after that
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
now l/2 is upper limit and l/2 is lower limit. \[[x^3/3]^{l/2}_{l/2}\] is solved by first putting x= upper limit  x= lower limit like this : (l/2)^3/3 (l/2)^3/3 got this first term ?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
can you try for other 2 terms ?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
\[\int\limits_{l/2}^{+l/2}(x^22rx+r^2)dx\\= \int\limits_{l/2}^{+l/2}x^2dx2r\int\limits_{l/2}^{+l/2}x dx+r^2\int\limits_{l/2}^{+l/2}1dx = \\ =[x^3/3]_{l/2}^{+l/2} 2r [x^2/2]_{l/2}^{+l/2}+r^2[x]_{l/2}^{+l/2}= \\ = [(l/2)^3/(3)(l/2)^3/(3)]2r[(l/2)^2/(2)(l/2)^2/(2)]\\ +r^2[l/2(l/2)] \\ = 2*l^3/24 2r(2*l^2/8)+r^2(2l/2) \\ =l^3/12  rl^2/2+r^2l\]
 one year ago

Ruchi. Group TitleBest ResponseYou've already chosen the best response.0
hey this one is nt d answer.
 one year ago

Ruchi. Group TitleBest ResponseYou've already chosen the best response.0
@satellite73
 one year ago

Ruchi. Group TitleBest ResponseYou've already chosen the best response.0
plz can u provide me conversion chats
 one year ago

Ruchi. Group TitleBest ResponseYou've already chosen the best response.0
example : how to convert kg into mass. like this can u provide me the chat in which about all unit conversion given.
 one year ago
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