Posted by **Bryant** on Wednesday, March 7, 2012 at 1:35am.

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 -
**MathMate**, Wednesday, March 7, 2012 at 7:22am
Don't know if you really meant

∫sin(t)e^t dt

If that's the case, try differentiate using the chain rule,

sin(t)e^t

and

cos(t)e^t

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 -
**Anonymous**, Wednesday, March 7, 2012 at 11:41am
uh no i meant what i typed which is e^(sin(t))

- calculus -
**Steve**, Wednesday, March 7, 2012 at 12:18pm
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.

## Answer This Question

## Related Questions

- calculus - Let z = ∫e^(sin(t))dt from x to y a = x b = y I tried thinking ...
- calculus - Let z = ∫e^(sin(t))dt from x to y a = x b = y I tried thinking ...
- calculus - Find dz/dy and dz/dx Let z = ∫e^(sin(t))dt from x to y a = x b...
- Calculus - Evaluate ∫ (cos(x))^(1/2)sin(x)dx Let u = cos(x)? ∫ (u)^(...
- Calculus - Alright, I want to see if I understand the language of these two ...
- calculus II - ∫ tan^2 x sec^3 x dx If the power of the secant n is odd, ...
- Math integrals - What is the indefinite integral of ∫ [sin (π/x)]/ x^...
- Calculus - Integrate 1/sinx dx using the identity sinx=2(sin(x/2)cos(x/2)). I ...
- calculus - Suppose R is the rectangle 1<=x<=4, |y|<=2 and evaluate the ...
- Math (Calculus) - Hello, Could somebody please help me with the following ...

More Related Questions