help setting this up...?

Question

anonymous · Answer

$$\int\limits_{0}^{\pi} (5e^x+3sinx)dx$$

anonymous · Answer

I got 
....+(3sinx^2/2) but im stuck

anonymous · Answer

integrating sin doesn't give you sin^2

anonymous · Answer

The rule you tried to apply there works only for polynomials. You want to a function whose derivative is 3 sin x. And another function whose derivative is 5 e^x.

anonymous · Answer

3cosx?

anonymous · Answer

then what do i do for this one..?

anonymous · Answer

-3 cos x

anonymous · Answer

d/dx cos x = - sin x.

anonymous · Answer

yeah i forgot the negative.. sorry

anonymous · Answer

d/dx e^x = e^x.

anonymous · Answer

e^x is special in that regard. It's the only function with that property.

anonymous · Answer

so it stays the same... (5e^(x)-3cosx and the i just do F(b)-F(a)

anonymous · Answer

Yep. That's the fundamental theorem of calculus.

anonymous · Answer

Since you've got a pi as one boundary of the interval you're integrating over, you might end up with some things that you'll have to either leave as a symbol, like e^pi, or you'll get a decimal approximation because it'll be irrational.

anonymous · Answer

yeah i got... -116.7034632

anonymous · Answer

Yeah. You should get a definite rational number for -3 cos pi. But Then I would leave e^pi in its symbolic form, probably... up to you.

anonymous · Answer

-1-5e^pi ... thank you!!