- #1
Capella Riddle
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It's been a year since I took Calc I, and I'm taking Calc II online this semester. This is technically a review problem from Calc I, and I managed the other seven, but I can't figure out how to solve this problem.
1.a Homework Statement
∫(a*sin(14x))/([itex]\sqrt{1-196x^2}[/itex] dx, evaluated at x=0 (lower limit) and x=1/28 (upper limit), where "a" is a constant.
2.a Relevant equations
I've defined u as 14x, and dx=du/14; thus u(0)=0 and u(1/28)=14
3.a The attempt at a solution
Using this definition of u, I've been able to get the problem to this point:
[itex]\frac{1}{14}[/itex]∫a*sin(u)*(1-u^2)^(-1/2), evaluated at an upper limit of 1/2 and a lower limit of 0
From here, I'm stumped. Am I using the wrong definition of u, or is there something I'm missing?
Thanks for any help,
Ell
1.a Homework Statement
∫(a*sin(14x))/([itex]\sqrt{1-196x^2}[/itex] dx, evaluated at x=0 (lower limit) and x=1/28 (upper limit), where "a" is a constant.
2.a Relevant equations
I've defined u as 14x, and dx=du/14; thus u(0)=0 and u(1/28)=14
3.a The attempt at a solution
Using this definition of u, I've been able to get the problem to this point:
[itex]\frac{1}{14}[/itex]∫a*sin(u)*(1-u^2)^(-1/2), evaluated at an upper limit of 1/2 and a lower limit of 0
From here, I'm stumped. Am I using the wrong definition of u, or is there something I'm missing?
Thanks for any help,
Ell