1.) Suppose that: Integral(xtop,1bot) f(t) dt = 5x^2 +5x - 3. Find f(x). Which O
ID: 3341373 • Letter: 1
Question
1.) Suppose that: Integral(xtop,1bot) f(t) dt = 5x^2 +5x - 3. Find f(x).
Which One?Please Explain:
A.) 5/3x^3 + 5/3x^2 - 3x - 7
B.) 10X+5
C.) 5x^2 + 5x - 3
D.) 5/3x^3 +5/2x^2 - 3x
2.) Find f(pi) if: Integral(xtop,0bot) f(t) dt = x sin 8x.
Which one? Please explain:
A.) 8
B.) 8pi
C.) pi
D.) 0
3.) What definite integral is represented by: lim as n-->infinity %u03A3(n top, i=1 bot) (4i/n)^2 4/n? Used the Fundamental Theorem to evaluate the integral.
Which one? Please explain:
A.) Integral(4top,0bot) x^3 dx =64
B.) Integral (4top,1bot) x^2 dx = 21
C.) Integral (4top,0bot) x^2 dx = 64/3
D.) Integral (1top,0bot) 4x^2 dx = 4/3
Explanation / Answer
A.) 5/3x^3 + 5/3x^2 - 3x - 7
because if we integrate we get =5/3x^3 + 5/3x^2 - 3x +c
put x=0 andf(0)=-7
so c=-7
D)= 0
=-xcos(8x)/8
when we put limits we get 0
C.) Integral (4top,0bot) x^2 dx = 64/3
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