MATH 118g Lecture Notes - Lecture 6: Out 1, Features Of The Marvel Universe

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10 Mar 2023
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Eternionration bd aencionufion " of(g(x)) = f"(g(x)). g"(x) Int. x =x3 du x= 372 dr du n=3x"d. Je"du = e" + c w a((1 + z) + 1 b+. 2x. Final answer xz + c nothing else bc it"s like ex, ex. Function. f(x) = f"(). (f(x(x))x(x)dx =f(x(z)) + c. 2x g(x) = 2" - 3c 473 x =x" - 3 u =473 du = 45dx de = de. Composite: ex3-2, fll:ei-2. 2x u =23 - 2 on = 353 dx = du. Using them: equation (35 + 1)"2 composite x"2 f(x) =-"12 g(z) =3z + 1 -3. : juve du x - 1(u) =x - m. Ejemplo m: in (x) u(a) =(x(1) =0 u(b) =(n(e) =1 u3s 3. Cometimes, u can be a whole equation get - 14e-4x. 14x x =ex + e- 14x u =ex - c+4x. I i du de = dl x u(b) 3 en(e) en(1) u(a) =(x(1) =0 u(b) =(n(e) =1.

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