Whats the difference between dt and dx? F(X) = e^x + ∫ sin t dt F(X) = e^x + ∫ sin t dx Then calculate F`(π) ∫ is 1 and x. Somebody who can explain this kind of integrals shortly? why dt and not dx?
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$\displaystyle t$ is just a dummy variable. Fundamental theorem of calculus ... $\displaystyle \frac{d}{dx} \left[\int_a^x f(t) \, dt \right] = f(x)$
ok, so if i understand you correct ∫ sin t dt <=> ∫ sin x dx its just an other way to whrite it?
Originally Posted by ronaldopeter Whats the difference between dt and dx? F(X) = e^x + ∫ sin t dt F(X) = e^x + ∫ sin t dx Then calculate F`(π) ∫ is 1 and x. Somebody who can explain this kind of integrals shortly? why dt and not dx? were these meant to be different functions, F(x) ?
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