University:
California State University, Northridge
Course:
MATH 150B | Calculus II
Academic year:

2023
Views:

86

Pages:

4
Author:

nadiascoot22

O y 10g, (sinx) 1 (Ina) you dx a5 [100] de sink dy ()()(x). dx (in) (sinx) cot x hlab) bina de in (5") inisinx) [ying][In sinx] Ins[y] [In sinx] axing Formula [nu() 55()[54] u sinx Sinx dy de (Ins) sink) using formula [Inu] d (4-2) y: In 4 n X-2 (2)(x)-(3)(x-2)(x-2) (1)-(x)(1)-2 (-2) (x-2)2 (-2) yo In (10gx) note: log²x (log x)² y= In (109x)² using formula y 2 In (109x) [in] y= 2 Iny [1094] 1 = 109 x 1 (1) 2([]) ()() 2 Xiny 2 xnx ds y xine x(x) Ine (1) (In3) In3 sinx n3 note log x 110 y Ins [] (()) y ye let úr lnx; []()()() -In 3 5v In²x nole in²x-(Inx)² wing formula dx note 5 (2012 ed dy du dx (3) = (√x) 2(x) y' (Inc) x y (a) 4 [a"]. (na)o d let a In b dx (a)(bo)() xn [in(in)] (In)(5)], 5 (y. (inv) x Iny: In [ins)] 5x In (in 6) ③(Iny)=(5x Incinb)] ^^^)[x]-[In (mu)] (5) y dx 5(1m(mb)) dv : 5(In(m))y (In(nc)) (Inv) y get ex [a] (hala wing formula berause link) is a positive constant. wing formula berause 2 is a positive constant. y= b+c b. ex ba let a= 2 c. Jex ca ur ex ✓[a].(ha)()()()(c) dy [a"]-onala (2) (2) (2) d. (na) (2) (c) + (In 2) (2) (c) (e) (2) (Ina) + (10) On 2) y arcsin (c) g: arcsin (u) (*) -( wing formula- [aresin u let u 3x (3)3 (de) √1-43 de to simplify (3c)(c) O y log, (sinx) [109](a) de dx usinx de- de dx (In) (sin) cot x 4. log winx) hab) bina in (5") inisinx) [ying][In sinx] Ins[y] [In sinx] uring Formula [u]() u sinx de (ins)(sinx) in / ②y:15() y: In 4 (2)()()()(x-2) (1)-(() (-2)2 (4-2) -2 (x-2) ()() () ys In (10gx) note: log²x (log x)² wing formulg [in][1094] luc 109 x y: In (lugx) y: 2 In (109) y= 2 Iny 1 (1) 2 ([]) note 10g x in 10 ()() 2 2 de xinex x(x) Ine 2 (1) (In3) in3 In3 sinx"