Hi all. This is my first post to the discussions groups I've been
following for the last 4 months. I used Sage in my first semester
calculus class this last semester, and plan to move every class I can
over to Sage during the next few years. Giving the students something
they can use anywhere they go without forking over thousands of
dollars has a huge advantage. As such, I'm going to start doing a
better job of posting errors when they arise and I can't figure out
how to resolve them.
Here is the issue. When I evaluate
sage: var('t')
sage: integrate(sec(t)*tan(t),t,0,pi/3)
I get the error message
>Traceback (click to the left for traceback)
>...
>Is cos(t) positive, negative, or zero?
I can get the correct solution of 1 by executing
sage: var('t')
sage: F(t)=integrate(sec(t)*tan(t),t)
sage: F(pi/3)-F(0)
Similar issues arise with other trig functions. The command
sage: integrate(csc(x)*cot(x),x,pi/3,pi/2)
gives the error message
>Traceback (click to the left for traceback)
>...
>Is sin(x) positive, negative, or zero?
Any ideas why Sage cannot complete this definite integral? I would
prefer to have Sage give the answers without using an assuming
commands, since by specifying the bounds are between 0 and pi/3 I am
already declaring cos(x)>0 and x to be real.
Could this be related to
http://trac.sagemath.org/sage_trac/ticket/6956
Thanks for the great product.
Ben Woodruff
BYU-Idaho
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