BenildoAlexandre Posted June 1, 2015 Report Share Posted June 1, 2015 guys i have a doubt.i want to integrate from -2pi to -pi and then from -pi to zero but i am not sure about the expression of the ramp decreassing from 4 to zero on the y axis and from -2pi to -pi.from -pi to 0 i would just integrate the amplitude of 2 of the function. regards Quote Link to comment Share on other sites More sharing options...
CraigD Posted June 2, 2015 Report Share Posted June 2, 2015 I think you’re trying to find [math]\int_{-2 \pi}^{2 \pi} \left( -\frac1{2 \pi}x +2 \right) dx[/math] which, involving a simple polynomial, is easy to find: [math] -\frac1{2 \pi} x^2 +2x |_{-2 \pi}^{2 \pi}[/math] [math] = \left( -\frac1{2 \pi} (2 \pi)^2 +2(2 \pi) \right) - \left( -\frac1{2 \pi} (-2 \pi)^2 +2(-2 \pi) \right) = 8 \pi [/math] You could just do this geometrically by noting that the graph of [math]-\frac1{2 \pi}x +2[/math] is And finding the area of the right triangle with sides [math]4 \pi[/math] and [math]4[/math]. Buffy 1 Quote Link to comment Share on other sites More sharing options...
sanctus Posted June 2, 2015 Report Share Posted June 2, 2015 CraigD, very impressed that you got the integrand from the opening post!! Quote Link to comment Share on other sites More sharing options...
BenildoAlexandre Posted June 5, 2015 Author Report Share Posted June 5, 2015 i wanted to integrate just the decreasing ramp from -2pi to -pi.....i computed the line equation for slope............thanks guys Quote Link to comment Share on other sites More sharing options...
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