Homework Statement
Integrate from 0 to 1
x47e-x48
Homework Equations
The Attempt at a Solution
u = -x48
du = -48x47dx
dx = du / -48x47
∫eu * du/-48
-\frac{1}{48} ∫ eu du
-\frac{1}{48} eu
-\frac{1}{48} e1 - ( -\frac{1}{48} e0)
-\frac{e}{48} +...
Homework Statement
Find the derivative. Simplify where possible.
xtanh-1x + ln\sqrt{1-x^2}Homework Equations
The Attempt at a Solution
(x/1+x2) + tanh-1x - (x/1-x2)How would I go about make this problem simplified as possible if the above answer is correct.
Homework Statement
Evaluate the indefinite integral.
∫sin(27t) (sec(cos 27t))^2 dt
Homework Equations
The Attempt at a Solution
u = cos27t
du = -27sin27t
dx = du / -27sin27t
∫sin(27t)*(sec(u))^2 * (du/-27sin27t)(-1/27) ∫(sec(u))^2 du
(-1/27)*tan(u)
= (-1/27)*tan(cos27t) + C ?
I am...