Recent content by aselin0331

You're fantastic! I was staring at Sec^7 and sec^5 for a while and that just clicked in! Thanks

Homework Statement Can you do integral of sec^5(x)tan^2(x) without reduction formula? Homework Equations The Attempt at a Solution If so, would it be integration by parts? I tried splitting it up in way too many ways to post them on here. Thanks for any hints!

Homework Statement 1+ integrand of e^t f(t) dt (from a to x^2) = ln (1+x^2) Homework Equations The Attempt at a Solution I managed to sub in x^2 and derive the left then moved the one to the other side and differentiated the right hand side as well (a hint attached to the...

Homework Statement Rn=\sum(i*e^(-2i/n))/n^2, i=1 Identify this Riemann sum corresponding to a certain definite integral. Homework Equations The Attempt at a Solution I got till 1/n^2 [1/e^(2/n)+2/e^(4/n)+3/e^(6/n)...n/e^2] and that's it. To my understanding I should be...

I guess I should have said that this multiple choice question is asking us to select the reason why the series converges and these are the options: A. Convergent geometric series B. Convergent p series C. Comparison(or limit comparison) with a geometric or P-series D. Converges by...

Homework Statement The sum of ((n+1)*3^n)/(2^2n) Homework Equations absolute value of r must be less than 1 for the series to be convergent. The Attempt at a Solution i tried multiplying it out and splitting it up like: 3^n*n/(2^(2n))+3^n/(2^(2n)) but then i am stuck when I...

Homework Statement \int(5x+2)/(x^{2}+25)^{2}dx Homework Equations The Attempt at a Solution \int5x/(x^{2}+25)^{2}dx+2\int1/(x^{2}+25)^{2}dx I can integrate the first part using u substitution then I am stuck at the second part...my partial fraction answer is the same as the...