微積分求解

Question

讓a b c為實數

怎樣的封閉區域會介於f(x)=sin(x)+a和g(x)=sin(x)+c之間

從x=0到x=b

Answer 1

最佳解答

The derivative of the function g is g'(x)= cos(sinx). At the point where x=0 the graph of g is?

I) Increasing II) Concave down III) attains a relative max point

A) I only

B) II only

C) III only

D) I and II only

E) I, II, III

g(x)=∫cos(sinx)dx=

sinx=u

g(x)=∫cosudu=

g(x)=sinu +c

g(x)=sinsinx +c

x=0

g(x)=sinsin0+c

g(x)=sin0 +c

g(x)=0+c

g(x)=y=c

point:(0;c)

A) I only

g(x)=∫cos(sinx)dx= sinx=u g(x)=∫cosudu= g(x)=sinu +c g(x)=sinsinx +c x=0 g(x)=sinsin0+c g(x)=sin0 +c g(x)=0+c g(x)=y=c point:(0;c) A)

Area between f(x)=sin x and g(x)=cos x where a ...

Find ∫ (e ^ x)(sinx) dx?

If f ' (x)= cosx & g '

Answer 2

怎樣的封閉區域?

這是甚麼意思?看不懂.