# Evaluate the following integrals Also try the integrals...

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MATHEMATICS 115 PRACTICE PROBLEMS FOR FINAL EXAM Also see the midterm practice problems 1. Evaluate the following integrals. (Also try the integrals from the integral practice sheet.) (a) cos x dx (b) 3 x 2 4 x + 5 ( x 1)( x 2 + 1) dx (c) 2 x x 2 dx (d) e 2 x 9 dx (e) sin x cos 2 x 5 + cos 2 x dx (f) x ( x 2 + 2 x + 2) 3 2 dx (g) sin 2 4 x cos 2 4 x dx (h) x 2 ln x dx (i) tan 3 2 x sec 3 2 x dx (j) 1 x 2 x 2 + 4 dx (k) x 2 x 5 dx ( ) cosh x 4 sinh 2 x dx 2. Do the following improper integrals converge or diverge? Justify. Evaluate those that con- verge.
3. Evaluate the following limits.
4. Find the arc length.