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Matematika 2

Bun Yamin
Bun Yamin

Contoh penyelesaian soal-soal integral

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L-6 ,fiorn Uo* rn-t afrllz2ds L # J*^ wn4 -/ / dihfah' t- g= X3 ,/ S ro ) Y=7 d.an X: 3 L =t Jtvu dN 4r3 x JrI 4 J "3q I *r,f 4 a" X *. #'* ag a(an J^ + 2t*)'J fa +14F=rJ s 64 +24": sz 33b-= > ,"2 sL 4{ W{nme hrnac. t^fu, ry.?b? Tyen, A.7.ry, ll :o &fuufn, "t"( ,{h{""& Frt riC* aian{aru )(:*ZdanX=3 rJ 3W, qni hty g U''s -? nntzrk {'ingl*^*n r r 3 -3 v ; TJ(Ug-r- r cr 5 r-L J (s*7:.) ex 7L fro *ot J: Tr {te s + s') F (s (') + {-zi lJ rc [t T*il (c8 +$t] n (tt-g) = rLry *i ryrc :33Ln sy zr-rrr,rL :
4 = zuQ / 3 rq t Vso u T zfi 7v 1 :ry Lrc 4l', x3 {= n )' ag oJ''(ztQ : nuj'% dt1 : K (ey,) Jo' s 1T.2.42 = te st/ F furamqa4 Dr-*r,*r16i"a4 5 (tS'o,r)# i Bxrg rrl.eMft rcriafte{ krP'co A @7'-' l# -.:{? &1 K{ dr fu'rr) 3tr2 c{7' z3 k3 s% 3 g tL 2Z * 7 rlrf/ 2- za'f 3 //t/ 6. (r-rs) d! * (y + qr)& =o niscl , g= V.X JY = vd^ + x-Au (x- avr>-(v * r r-Jv) + (vx + qr) dx * (> Vr "& + vtdt *2v'x..|'x -zvx'.)v + (xolt ++r'4 =o V.4x * zvt X I 2V X?, 2V" d^ *2 V'-d,n + 1d.n + v olv F 2vx"4v =- C) {eV2* zv -cr)* I ?y7l ?tu- x-{! { (rv?-u! 4)v Jolx l*2v r' _ avz*2v - q )du
J* 4 s tA^ [n) +- C zv f{ | '*- -;;*l?-zv* I ) dv frU"[aA : 4-4 s 2V e- LV *1 clu * Qv *q dv Ail r *z(r ^zv)dv L&^ s (, *rv ) dv Jffi)du s J'-+.'tu + : * h^ lul +L F tl^ [*v2*2v -t] +C fnl+c = *++nl^Vr*zV-+l l"vl l/h{r r. s I t (A^ lz {, _ q *ql ,7' un l"i + +rturnlr{ GU _41 tv-?x =c -"{^f ztan lt I rwr- + l,nlzt zy _. = c v- T 1l (^/t r2(ry ?..4)l -.- ?7 'n-7 t^l .{ Z f 1,,^ ,*.2 t - nX'-7nf' rY W {z [V7*ry--r) =C 7 (xrr) W Y= xz - &4 ,/* { *'nltq{- d{n fk/'r in{egra;' -2 (x rr) 4 trt4 T'- f eT 3 -+- J* x+l * r{js -dr6'tT+t, = i) .t Pcx) &fx) jPo+ dd, : t X+t lv - Jf {.},-, )dq,: lr^ {x+r} +;: eJPn>4 : gh{'xti I 7+l
fu + #, ,)y s ->(E/ W. T Lx+t / , : {x- l) 4 r {#3 *4d f; : -t dry' x x+l tu,w;*s'd^ : fxz* t) ex {r,u) y - *xt-x .) +- c '3 : 4nA- eA%t % && Y(r) ffc.:,? {rro}ax = J* e^ = t- ltl r s '6rr+14e ' = un l"^ I : f i; %*Laj -ev' x r =:-trl 4 r+34 -'..--d,-# =zvE&^ 4 X J_; J X Ta3+yhs 37,' &fi xg c )-ry- e,*f + 5-r

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Matematika 2

  • 1. L-6 ,fiorn Uo* rn-t afrllz2ds L # J*^ wn4 -/ / dihfah' t- g= X3 ,/ S ro ) Y=7 d.an X: 3 L =t Jtvu dN 4r3 x JrI 4 J "3q I *r,f 4 a" X *. #'* ag a(an J^ + 2t*)'J fa +14F=rJ s 64 +24": sz 33b-= > ,"2 sL 4{ W{nme hrnac. t^fu, ry.?b? Tyen, A.7.ry, ll :o &fuufn, "t"( ,{h{""& Frt riC* aian{aru )(:*ZdanX=3 rJ 3W, qni hty g U''s -? nntzrk {'ingl*^*n r r 3 -3 v ; TJ(Ug-r- r cr 5 r-L J (s*7:.) ex 7L fro *ot J: Tr {te s + s') F (s (') + {-zi lJ rc [t T*il (c8 +$t] n (tt-g) = rLry *i ryrc :33Ln sy zr-rrr,rL :
  • 2. 4 = zuQ / 3 rq t Vso u T zfi 7v 1 :ry Lrc 4l', x3 {= n )' ag oJ''(ztQ : nuj'% dt1 : K (ey,) Jo' s 1T.2.42 = te st/ F furamqa4 Dr-*r,*r16i"a4 5 (tS'o,r)# i Bxrg rrl.eMft rcriafte{ krP'co A @7'-' l# -.:{? &1 K{ dr fu'rr) 3tr2 c{7' z3 k3 s% 3 g tL 2Z * 7 rlrf/ 2- za'f 3 //t/ 6. (r-rs) d! * (y + qr)& =o niscl , g= V.X JY = vd^ + x-Au (x- avr>-(v * r r-Jv) + (vx + qr) dx * (> Vr "& + vtdt *2v'x..|'x -zvx'.)v + (xolt ++r'4 =o V.4x * zvt X I 2V X?, 2V" d^ *2 V'-d,n + 1d.n + v olv F 2vx"4v =- C) {eV2* zv -cr)* I ?y7l ?tu- x-{! { (rv?-u! 4)v Jolx l*2v r' _ avz*2v - q )du
  • 3. J* 4 s tA^ [n) +- C zv f{ | '*- -;;*l?-zv* I ) dv frU"[aA : 4-4 s 2V e- LV *1 clu * Qv *q dv Ail r *z(r ^zv)dv L&^ s (, *rv ) dv Jffi)du s J'-+.'tu + : * h^ lul +L F tl^ [*v2*2v -t] +C fnl+c = *++nl^Vr*zV-+l l"vl l/h{r r. s I t (A^ lz {, _ q *ql ,7' un l"i + +rturnlr{ GU _41 tv-?x =c -"{^f ztan lt I rwr- + l,nlzt zy _. = c v- T 1l (^/t r2(ry ?..4)l -.- ?7 'n-7 t^l .{ Z f 1,,^ ,*.2 t - nX'-7nf' rY W {z [V7*ry--r) =C 7 (xrr) W Y= xz - &4 ,/* { *'nltq{- d{n fk/'r in{egra;' -2 (x rr) 4 trt4 T'- f eT 3 -+- J* x+l * r{js -dr6'tT+t, = i) .t Pcx) &fx) jPo+ dd, : t X+t lv - Jf {.},-, )dq,: lr^ {x+r} +;: eJPn>4 : gh{'xti I 7+l
  • 4. fu + #, ,)y s ->(E/ W. T Lx+t / , : {x- l) 4 r {#3 *4d f; : -t dry' x x+l tu,w;*s'd^ : fxz* t) ex {r,u) y - *xt-x .) +- c '3 : 4nA- eA%t % && Y(r) ffc.:,? {rro}ax = J* e^ = t- ltl r s '6rr+14e ' = un l"^ I : f i; %*Laj -ev' x r =:-trl 4 r+34 -'..--d,-# =zvE&^ 4 X J_; J X Ta3+yhs 37,' &fi xg c )-ry- e,*f + 5-r