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Let z = ∫(e^sin(t)dt) from x to y

a = x
b = y

I tried thinking about it like a chain rule but even then i'm a little unsure.

I know dz/dt = e^sin(t). Can you please point me in the right direction if i'm supposed to use the chain rule.

  • calculus -

    Don't know if you really meant
    ∫sin(t)e^t dt
    If that's the case, try differentiate using the chain rule,

    You should be able to figure out the integral from the results.

    The original integral you posted does not seem to have an analytic solution. A series solution is (almost always) available but does not fit your bill.

  • calculus -

    uh no i meant what i typed which is e^(sin(t))

  • calculus -

    In that case, I fear there is no solution using elementary functions.

    who posed such a problem? It's solvable numerically, using a Taylor series, but not symbolically.

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