An Elementary Treatise of the Differential And Integral Calculus
The book An Elementary Treatise of the Differential And Integral Calculus was written by author Edward a Edward Albert Bowser Here you can read free online of An Elementary Treatise of the Differential And Integral Calculus book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is An Elementary Treatise of the Differential And Integral Calculus a good or bad book?
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1 + xi y = p^ — 2x — fa;^ + Bxi + 2x^ — 6xi — 6x^ + 6 log {xi + 1) + 6 tan-ia;i • , 3a;4 - 3xi , 3- dy = —^ ^dx. 3x^ + x^ y = 12 (fa;* — fa;* + ^-^^^ — 9«*) + 1908 [^a;A— |a;^+3a;i— ^a;^ + 81a;A— 343 log(a;A+3)]. EXAMPLES. 281 4. ay = — ! — - dx. 1 + xi a;" 4 +|- + ilog(l+:r*) (Art. 142.) 5. dy = xdx (1 + #■ Vl +X + Vl + a;J (?a; a^Va + 5a; va '\fx 7. % = Ja; (1 + x)i + (1 + !r)^ y = 3 tan-i (1 + a;)4. 8. dy = 4:{x + Vx + S + ^/x + 3)dx. y = 2 {x + By—12{x + 3) + %(x+g)i + 3 {x+3)t (Art. 143.) ...9-m JjlAltK • dy = -^:==3 V 1 + X 10. % = 11, dy = y = i{l + a;3)t - | (1 + a^^)* + (1 + ^)^- 3?dx 3x> + 2 (1 + a:2)t o^dx (1 + a;8)t" 2^= - 3 (1 + a;")' ■v/l + a?' 282 EXAMPLES. 12. dy = ^^ (Art. 144.) ■s/l + X + x> y = log (l + 2a; + 2\/l + x + a?). (See Art. 144, Ex. 1.) 13. dy = Vx^ — x—1 y = log (2a; — 1 + 2'\/a;2 — x — 1). 14. e?tf = ,— - =^- y = —2 tan-U /— ^ 15. dy = — X 2' Vl +X — '. 2, = -2 tan- V^^^-^^^ 16. dy = x-i- i-v/5 dx (Assume \/^ + x' = z — x, etc.
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