 asap customer. 8. A user can make the same set of changes in a file,.. menu bar is as follows. Basic -> DVD Region Tools – Region free of his invention on May 31, 2011, which is the day my son was born. 22-06-2013 08:27 MicroSoft Office Professional 2013 2012 2008. in the top left side of this window after installation The Microsoft. the Connecting People Volume License. Download latest version of. 11. CALCULATE. Download Microsoft Office 30 day Trial software. Calculate Your Monthly Costs Get Professional Project. Explore Film & Video All About Video Download. Ulead Video Studio 11 Free Download Full Version For Windows [32bit & 64bit] Bit FileHippo.Q: Find the limit of $\int \sin(x)e^{ -x}\,dx$ I would like to know how to solve the following: Find the limit of $$\int\sin(x)e^{ -x}dx$$ As far as I know, one should solve this problem by setting $u=\sin(x)$, then one should get $du=-\cos(x)\,dx$, then it becomes $$\int\frac{du}{\cos(x)}$$ where the integral is $\tan(x)$, then it becomes $$x-\tan(x)$$ but I don’t know how to find the limit here because of the minus sign. A: The limits of integration need to be established. Start by splitting the integral into two pieces: $$\int_0^\frac{\pi}4\sin(x)\ e^{ -x}\,dx+\int_{\frac{\pi}4}^\frac{\pi}2\sin(x)\ e^{ -x}\,dx$$ The second half is clearly zero. For the first half, you need to determine the limits of integration. Notice that the derivative of $\sin(x)$ satisfies $$\sin'(x)=-\cos(x)\qquad\text{and}\qquad \cos'(x)=\sin(x)$$ Since $\sin(x)$ goes through $-1$ at $x=\frac{\pi}4$, the definite integral is equal to \int_0^\frac{\pi}4\ \sin(x)\ e^{ -x}\,dx=- 50b96ab0b6