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Engenharia de Materiais ·

Cálculo 1

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Resoloa e 1 Calcule j olde j 3dx j e7 dx feta Jorpar foe Ade fect aerrar J cos 3xax 2 a 8 42x 3dr sen Sx dx j e 28 dx x sen xdv 3 cos xdx fae ft J J ete I favre fixar a Jara I f 5 ac fetdear J Gen 3x 60s Spd fste Jar x 0 Xx x J x x J ax byds ae bconstantes Jae tx Jas J sen 5 as J cos ax a 1 2 3 fae cos 3xdx fe e dx ire G ca j B edx Je dx fale aac fze ax x f cos anja 2snd an I a 1 x Resolva xdx Ath X 4k 1 Calcule 4 4 fra fsa e dx e d 2 foxtpay fottxtnde fect aerrax J cos 3eax xX t X fe ie fos 42x 3de J sen Sx dx fete ey ax é faa f4a fe sen ax J 6 cos soar cseer dx J vrax fixax J ona j are fx4 Jac forte J Gen ax 008 Sxyak Jer Jan roo J ax bdr we bcomstantes Jae ta Jas ven Sas feos 3 as 3 Vx dk L Fix ise4e Ieexe eee 2 faVi 3rdx 2x03 ax YX fa cos anya J2tsen4 Jas 3X4 Xx Cc i é 2 5x X Cc 1 Quais das seguintes integrais so impréprias Por qué wid Car dx 0 a P tg x dx b tgx dx f d e dx 2 Determine se cada integral convergente ou divergente Calcule aquelas que sao convergentes E 1 a a o ee 3 2 Jo Wx Je 1 x 1 720 pe 2 Ea ay sa sen a da cos at dt Sa h Ger Dp pire cwg 0 a a oe is dz dp J 2dr Lae Lae oe Po geo Oe a gh ee oa ee 0 0 pas Ki f3 dx 0 3y dy Ve aie o ye dy Resolva e 1 Calcule 3 Calcule 3 aso rfc 27 4 b 3x 2 dx fy a sen x cos x dx o sen x cos x dx of x 2 os df ax 2 ax of coe ween von a sen x feos x dx 2 f xsenx ae pire dx e J sen 2x 1 cos x de PJ sen 2x J5sen x dx 3 2 g oe dx hy j sen Sx de 2 sen x dx iy cos x dr Be TA s fx cosa dx i J 60s rds if tS xsec x dr i f tyr sec xs D cvs xsenxdx m sen xeos xd 4 i 4 i Z of tgxsee x dx m te x sec x dx a aff ae tse 4x 3 m sex Jot cos x de 0 sen xsec x dr x 3x p ya of ye 14x2 5 6x7 py senx sec x dr o sen x cos x dx 1 s5 a 3 f xt3x ae sec x ieee 1 nf tex cos x de js dv pf eryite dx w gx pat ae 4 Calcule yf a x xe dx cos x 2 5 4 2 Calcule a 4 f 242 a I 3 axe 4 4 ec ax d ax ar a xe dx by 3 sen x cos x dv xn 3 J go a L 3 2 x ey fiw pfma x j dx 1 oT a4 Tae a 1 3 1 x3 mee 223 ose er lie la ylex Vlx7 1 1 s a fag g fa 2x 3 ax iy xsen 3x7 de 0 32 wT mn fs scene 5 x 2 we 4x 8 F zy dD as 201 0 cos x f dx fsa4 dx 1 wtetl x 2x42 af dx m cos 2x dx Q1ltx 0 1 Calcule a yl 4x de ie V4x7 Im ay dx ya x2 ol awe az a a fp fy34x as ee j ik I 2 ee 1 ad In fe ajlx dr 1 f fre ae 1 x att x J yoCe ly de eo aeaae i a oes oo by Ive dx de i We 2x42 de wr ae ay nf joa 2x43 de a es at ajl x 2 Calcule a je x 1 de b fe ax 1 dx af a 2 me 1 4x atyryp x2 dk 1 SI ji ea D ae i 2 liet as iy fyl ve os 241 ee of atae 2x x z 2x45 f J rare sen x dx amy J reare texY de x ny ace wp Vx a o Sa e 1 Calcule a xetdy b x senxdx o Peas d ined e nxax p Pinca g J x sec x de h cana ax 1 an ax ear I cos xd m e senx dx n x ee dx 0 8 cos ay p J e cos 2x ax q P senxas 2 Calcule 2 a J x et ax by mx ax tal x c I e cos x dx d 12 et dt s 0 J sen x dv p J sent xde 1 Calcule xt 2x3 b x a a xx243 x Th 2 xt x4 é of x 2x1 a af ee i On x 4x 4 4x x 2x x42 4g x41 i a x 4dr x 27 3 a f x l ge j i vx 9 x x4 Ox 2 Calcule r a Va 2 1r4 b ax D x x 2 x1 o j 3 2 gp eg x x1 d Ge 1ixt 4 Z 3 4x17x41 fe j eee are x D Ge Gx 10 xo Or 4 5x ditl 2 h j 4x1 d ae ateee 2 2 3x 4x4 ax 4 A ee A 43a eee ee x 8 1 Encontre a drea da regiao sombreada 2 Esboce a regiao delimitada pelas curvas indicadas e encontre sua area y o See y 2 2 a yVx2 yes 7S 8 me y y 4x x he 3 f 4 4 ee 2 y e y xe x 0 a ha y cCOsx ye2cosx Oa2 2a 4 1 x 2 2 Z 7 i 4 1 L y ca 7 y wx I ep 1 ycosmx y4r1 y xy4y xy yVJ2x y0 xy2 tex 2senx 73Sx8 73 a 33 ytgx y Nf a a D ycosx ysen2x x 0 x a72 yl Y x ycosx y1lcosx 0Sx7 sae Fo ge y 4x 9 Exercícios Exercícios Integração por Partes Exercícios Exercícios Integração por Frações Parciais