hw6_sp19.pdf - Math 115 Assignment 6 1 Evaluate Z 2...

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Unformatted text preview: Math 115 Assignment 6 1. Evaluate Z 2. Evaluate Z 3. Evaluate Z 4. Evaluate Z √ 5. Evaluate Z 6. Evaluate Z x2 − 2x − 1 dx. (x − 1)2 (x2 + 1) x3 dx. x3 + 1 √ 3 1 √ dx. x+ 4x 1 + ln x dx. x ln x 1 x2 ln(1 + x) dx. 0 1 dx. 1 + cos x For Questions 7–10, evaluate and determine convergent or divergent. Z 9 1 √ 7. dx. 3 x−9 1 Z 1 ln x √ dx. 8. x 0 Z ∞ ex 9. dx. e2x + 3 0 Z ∞ 10. e−|x| dx. −∞ 11. Use the comparison theorem to determine whether or not verges. 12. Use the comparison theorem to determine whether diverges. Z ∞ 0 Z ∞ 1 √ x dx con1 + x6 tan−1 x dx converges or 2 + ex ...
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