What's the integral 3/x from 1 to e? and why?

u = 1+3e-x 

so that (Don't forget to use the chain rule on e-x.)

du = 3e-x(-1) dx = -3e-x dx , 

or

(-1/3)du = e-x dx . 

However, how can we replace the term e-3x in the original problem ? Note that

 . 

From the u-substitution

u = 1+3e-x , 

we can "back substitute" with

e-x = (1/3)(u-1) . 

Substitute into the original problem, replacing all forms of x, getting

(Recall that (AB)C = AC BC .)

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.

i think the answer is b