Homework Statement
The car passes point A with a speed of 25 m/s after which its speed is defined by V = (25-0.15s)m/s. Determine the magnitude of the car's acceleration when it reaches point B, where S = 51.5 m. (the max height of the hill is 16 m, and the function of the hill the car is...
thanks for the idea! Problem solved.
let u =x^4+x^2+1
du= 4x^3+2x dx
Complete the square
(x^2)^2+(2x^2/2)+1/4+1-1/4 dx
=int x/(((x^2+1/2)^2)+(3/4)) dx
let u^2=(x^2+1/2)
du=2xdx
=int 1/2 du/(u^2+3/4)
=1/2 int du/(u^2+(sqrt3/2)^2)
that's the form I need because dx/(x^2+a^2)= (1/a)arctan (x/a) +...
Thanks. Sorry about the mess. This is only my fourth math class. Now that I'm sharing with others I've been getting many requests to quit being so sloppy. I tried to complete the square but the one cancels out and I' back to the original input. I think I remember a trick using fractions...
Homework Statement
Int x/x^4+x^2+1 dx
Homework Equations
u=x^2 dx=2x
The Attempt at a Solution
I tried u=x^2+x+1 then du=2x+1
1/2 int u+1/u^2 du
I thought I had it because it made a nice u/u^2 and 1/u^2
But no dice says the prof.
He said let u=x^2 that gives me 1/2 int du/u^2+u+1/u but...