Partial preview of the text
Download Calculus worksheet for basic Integration and more Exercises Calculus for Engineers in PDF only on Docsity!
Sin (4e) Ax) - +* is: Lxe sin x dx CU sin (x)- e* wos @) eo Sale ina is f sin<)-e' cos) _ I seloe J x%oos <) aw WJ = los % ve at dv= (-sin() fodv> e* Yee ¥ eo tk - cr{Cinb- Cool 1 fines stole) “eT conn y 2 zt selena toecone, Ce Zz o= e (x Snlx)t 1%) bos (2) ere Z Fe "oor fd - head 9 2 § [esinteeb - £ [eeounar |ParT o- ALGEBRAIC SOBSTITUTION Vy. a v= ytd Ricks ay. !Ay dy (v3) 3: ety= Yy do = i y* CDs Spit - & )du 4 (Svat Ifo &- ¢ fia) rie + 7(tnlu))~le e " 9 Cv) tn(v))_ G av) > using G J y ste y 4y et qd 3h. Oe = = 4 -ine( &)- fp _ tin x af Be et at ~ my =< ae ee ee 2 ee Se So 4 be (am-)* 4 ¢ . q 3: Uf wines oes s ee v= eInx(%)- [4 (Zax ¥ = ~° |e 4 3 5 = [* St ' _ ¥FInx 1? iaad ee ———"s oe / ¥? Iny | E (s InGO-1) x* +C eS 2- fires (in) ax : Sevstits WO first = Se” ws wy dw = wes (w) ee = [-sin (wo) e.g = P39 W)-Ge sin wy- f- &” wos yaa = Cus lo) (22 ints) + fe wos (wa ae 2 fud= x q == v “Ss Sud = <= ® w= In GD awa dx = Xdw Pare U= cos lo) ve os Sekine, Svdwo= <> yo: J GF ws 2 ) oa > ay et 3 eos Ox< oy u< WS 2 x wv “hd 4 ju= -2sinex yj w= © fontinvaton sets POR(-20 sm | = f- Ze Xsin (24) ae snExX) Nr Bure -4uos (2%) [vu ton trwahon = efe0s (20)-(- 2e SiS = etws (2%)-(-2 2e* sin Xt s x = = eer | =f xe” + ws e* (2 sa (2 3 a a" ¢ ) dx \ \ , . xe wae me. 12) hws -2 AX 2 { Ax tuo mae oa Cel en 2 -— ( - j e 2x I w = ~< —- | | € duo 2% } ~2* % A. _ — q @ rap wees (es ek 2 Se = 7 +—-G : vy v= sin 2y 5s. Sy sin 2y dy dust Swdy = - 5 Gy = a ee 2. | bf ye ER)- fac Se ay) ~ use ew (1 SP ay whe 2 -y et O42 __(-3 feortayydy 2 dy cho dyu> > ar 4 Os Gy) é. (+ f cos (Ww) —— "=z - yo AP a ty § vos (W) dw = - yee 4 4 (sin (299) (C3 F BO) si (y= 2y v5 29) 4