MATH 41 Midterm: MATH 41 Stanford 09Exam1sol

• School: Stanford University
• Department: MATH - Mathematics
• Course: MATH 41
• Professor: All

Document Summary

Name: find z 2 x3 + 10 x2 + 24 x + 19 x2 + 3x + 2 dx using partial fractions, find z tan3 t sec t dt; show all your work. Name: use an appropriate trig substitution to nd z your work, including any triangles you use to unsubstitute . dx (cid:0) 4 x2(cid:1)3 . This integral can also be written z dx (4 x2)3/2 . Use antiderivatives to determine if the interval converges or diverges. If the integral converges nd out to what. Full credit for this problem requires showing all necessary work and use of correct notation: find z 2x(arctan x) dx using integration by parts. Near the end, you might this useful: x2 x2 + 1 is. 9 x6 + 6 x4 + x2 . 6a: for large values of x, f(x) looks like 1/x4. Show how g(x) = 1/x4 can be used to determine that z .