Finding t for Parametric Equations

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Evaluate the line integral \int x^5*z*ds where C is the line segment from (0,3,5) to (4,5,7)

so first thing i did was found the parametric equations
the parametric equations are:
x= 4t
y= 3+2t
z= 5+2t

how do i find out what t is? i totally forgot how to do that and i can't seem to find it in the book because it's so easy they don't bother to explain it. i can solve the problem if i know what t is, so help me if you can. thanks in advance
 
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Surely you can figure out what t is when, say, (x, y, z) = (0, 3, 5)?
 
lol ah thanks alot, i got it
 
Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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