question is inside. To be honest, I know i have to use the fundamental theorem of calculus. (that i know how to use) but with this problem, Im not sure how to work it. help.
To go from velocity to position, we need to ....
integrate Can you integrate the velocity equation?
yeah that i can do.
You can? I can't.... \[\int \sin(t^2)dt \] can't be expressed in terms of elementary functions. Unless you are allowed to use some numerical integration software, I'm not sure how you can do much better than a good estimate.
the indefinite integral of sin(t^2) is not defined using elementary functions however you can approximate the definite integral from 6 to 7 \[\int\limits_{6}^{7}v(t) = x(7) - x(6)\] x(6) = 4 \[x(7) = 4+ \int\limits\limits_{6}^{7}v(t)\] For the integral --> http://www.wolframalpha.com/input/?i=integrate+5sin%28x%5E2%29+dx+from+6+to+7
when i meant i could, i meant i could use the calculator to do what ^ did. lol. but my answers were coming out odd. :/
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