Directions: Briefly answer the reflection questions below. 1. Why do we need not to include the arbitrary constant C when evaluating a definite integral using the fundamental theorem of calculus? 2. Using the FTOC, evaluate the definite integral of the given function f2²(3x² – 2x)dx.

Q: to Use logarithmic differentiation And the derivative, (ar ²-1) 5 -f(x)=√√√²+3x-1

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Q: π/4 [sin (√x) dx 0

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the const (x³ -…

A: The given integral is ∫x3-12x-4dx use the integration formulas, ∫xndx=xn+1n+1+C∫dx=x+C use the…

Q: tan0 Find the domain of the function f :0 → 2 sin 0 – 3cos0

A: We first simplify the functiontanθ2sinθ-3cosθ=sinθcosθ2sinθ-3cosθ=sinθcosθ(2sinθ-3cosθ)

Q: A/24 Evaluate x tan (8x)dx. 0.

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Q: Use algebraic techniques to determine whether the following function is even, odd, or neither. f(x)…

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Q: Using trig. identities, find the maximum of y = sinx + cosx  (in the first quadrant) and the…

A: Given: y=sinx+cosx We are required to: Find the maximum value of y in the first quadrant and the…

Q: e - e-r 5. Given that f(x): find f(r) %D note: this is called the sinh function

A: given function   f(x) =ex-e-x2

Q: Evaluate the definite integral. Using Fundamental Theorems of Calculus. (x2 - х) dx х2 +x+ 1

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