anonymous
  • anonymous
if we integrat a constan then we get ans x why???
MIT 18.01 Single Variable Calculus (OCW)
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katieb
  • katieb
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anonymous
  • anonymous
A constant is simply a variable (with a non-zero coefficient) raised to the power of zero, so when you integrate say, 2 (which is the same as 2x^0) you'll get (2x^1)/1 Also when you differentiate a linear equation you get a constant (y=2x, dy/dx=2) which is just the reverse process of integration.
anonymous
  • anonymous
Adding on SIlent-Sorrow's answer.if x is the problem the you can use another letter like c .ie int-{1}dc.then u will still get c.
anonymous
  • anonymous
Integration is simply a Summation over sum range. when u add sum constant in give range that will varry acording to range of integration.so it is variable,we can assume it as x.

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anonymous
  • anonymous
see actually u look to this question as this...... as integration is caleed as reverse process of of differentiation or simply the inverse function.... so when we find the derivative of a function x....we get 1........so what happens when we integrate 1.....???? js go the reverse process... i.e. 1=x(integration)
anonymous
  • anonymous
First of all, when doing integrals, it's alway good to do th ereverse process: the derivatives. Imagine the following integral: \[\int\limits_{}^{}Cdx \rightarrow X\] Now let's derive the function f(x) = x |dw:1350329860251:dw| This is why. For definite integrals, you just take the difference between the upper and the lower limit, as follows: \[\int\limits_{5}^{7}Cdx \rightarrow X\] Now evaluate this integral between 7 and 5: 7 - 5 = 2. That's it.

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