MAT 126 Midterm: MAT 126 SBU Exam Midterm 2 S10 Solutionb

• School: Stony Brook University
• Department: Mathematics
• Course: MAT 126
• Professor: All

Document Summary

Solutions to midterm 2 (acoustic: determine these easy antiderivatives. Z 3 x dx = 3 ln|x| + c. Z 4 sin(x) dx = 4 cos(x) + c. Z dt = 3 arctan(t) + c du. 1 u2 du = arcsin(u) + c: in this question we tell you which method we suggest you use. Solution: make the substitution u = 1 + z2, so that du = 2dz, or 1. Note that since 1 + z2 > 0 for all z, the absolute value is not necessary; the answer ln(1 + z2) Solution: make the substitution u = y + 2. Y + 2 dy = 2z eu du = 2eu + c = 2e y+2 + c. Solution: here, we let u = ln(x) and so du = dx x. Z ln(x) x dx =z u du = Thursday march 25, 2010: in this question we tell you which method we suggest you use.