Homework Statement
I have to find the definite integral of: \int\left(\sqrt[3]{1-x^{7}}-\sqrt[7]{1-x^{3}}\right)dx with bounds [0,1]
2. The attempt at a solution
I know that this can be done with hypergeometric functions, but I ca't use them because "we haven't seem them yet", so I have to...
Hey Kurtz.. well you are right the graphs do intersect at (2,3), when t = 1 and t =-2 ...but what do I do then? Separate the curves? in that case what are the upper and lower limits of those new integrals?
Hey Sammy! Thanks, glad to have found the community (:
I get what you mean, I even tried what you said, but I found myself with a problem..
...and that was that when trying to find y in function of x, t gave me 2 different values, which one do I use?
Hey Guys!
Homework Statement
Find the area of the "loop" (I'm guessing it's called) formed by the set of parametrics:
--> x(t)=t3-3t and y(t)=t2+t+1Homework Equations
I've already drawn the graph and as said before the curve creates a "loop", I have to find the area insed that "loop" and I...