What is solution for the following integral function

Question

The following integral is taken from exercise 7.1 of james stewart calculus 7th edition early transcendentals

$$\int_0 ^te^s\sin(t-s)~ds$$

I tried integration by parts and got the answer as follows $-\frac{1}{2}[e^t+\cos(t)+\sin(t)]$. Please verify the answer and if it is wrong please mention the correct procedure

Regards Joe Joseph

Can you please check if what was edit is what you want to integerate — Elaqqad, Apr 10 '15 at 14:10
You could do an indefinite integral and then test it by doing the derivative and see if you obtain the original function. — InsigMath, Apr 10 '15 at 14:10

score 1 · Answer 1 · answered Apr 10 '15 at 14:10

1

There is a sign error in your solution: $$-1/2\left[-e^t+cos(t)+sin(t)\right].$$

For future reference, it might be worth your while to check out a symbolic algebra package to check your answers. I would recommend starting with Wolfram Alpha.

answered Apr 10 '15 at 14:10

parsiad

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What is solution for the following integral function

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