Given (a) (b) [³F(x) dx evaluate each definite integral. f(x) dx = 8 and f(x) dx = [ r3 6 nd [*1(x) dx = -7 [²F(x) dx = [ 6

Q: dx -= In[F(x)]+C. What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1) A + - B 6. + 3 D + 6 + -15 -15 -15

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Q: 12 If [" f(x) dx = 19 and ' [₁ f(x) dx [R²F(x) f(x) dx = 4, find the following.

A: We can answer the question as below using the properties of definite integral.

Q: Find Give a specific function for F(x). F(x) = = [ x(x² + 6)³ dx F(x) =

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A: topic- definite integral

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A: Given

Q: 2. 3 Determine f'(x) and simplify. f(x) = (3x² - 4x) (2x - 3) ³

A: Topic = Derivative

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Q: Letf(x) =(6x if 0≤ x ≤2,(−4 if 2 &lt; x ≤6.Find ∫^6v0 f(x) dx.

A: Given information:Here, it is given that f(x) will be equal to 6x if x lies between 0 to 2 and f(x)…

Q: For f(x)=3x2 +4x+5 on the interval [-1, 1] estimate the area using 4 rectangles.  Do this with…

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