MAT 1332 Lecture 4: DGD4.pdf
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1 (3x + 1)2 dy ln(t) dt t. 3 dx z2 ln(z) dz (cid:90) (cid:90) 3 (cid:90) 1. Partial fractions and improper integrals: evaluate the following integrals: 2y 1 (cid:90) (cid:90) t3 2t2 4 (cid:90) x2 + x + 1 t3 2t2 y2 + 5y + 4 dy dt (x + 1)2 dx. 3x + 9 (cid:90) (cid:90) 3 (cid:90) t2 + 2t 1. 1 x2 dx x2 + 4x + 5. 6: determine if the following improper integrals converge or diverge.