MAT 122 Quiz: MAT 122 SBU Quiz 9 Solution

• School: Stony Brook University
• Department: Mathematics
• Course: MAT 122
• Professor: All

Document Summary

Note that some of these are inde nite integrals. Mat 122 quiz 9 solutions and some are de nite integrals. (a) z (2x4 x 1) dx. Z (2x4 x 1) dx = z 2x4 dx z x dx z dx. = 2z x4 dx z x dx z dx. 2 x2 x + c x2 x + c. + z + ez(cid:19) dz = z 1 z dz +z z1/2 dz +z ez dz z1/2+1 + ez + c. To compute a de nite integral, we use the fundamental theorem of calculus. Nd an antiderivative for the integrand 2w + w. we have. Z (2w + w) dw = z 2w dw +z w dw. Recall that all antiderivatives of 2w + w have this form, so when we pick any antiderivative to use with the fundamental theorem of calculus. We will pick the constant c to be c = 0. 0 (2w + w) dw = (cid:20) 1.