2. Write the given (total) area as an integral. a. The area above the x - axis and below y=4-x² b. The area above the x-axis and below y = 4x - x² c. The area between y = sin x and the x - axis for 0 ≤ x ≤ π 3. Compute f(x)dx f(x) = { 2x if x < 1 4 if x ≥ 1 4. Find the integral of your answer in problems 2a and 2b.
2. Write the given (total) area as an integral. a. The area above the x - axis and below y=4-x² b. The area above the x-axis and below y = 4x - x² c. The area between y = sin x and the x - axis for 0 ≤ x ≤ π 3. Compute f(x)dx f(x) = { 2x if x < 1 4 if x ≥ 1 4. Find the integral of your answer in problems 2a and 2b.
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 27SE: Prove that bx=exln(b) for positive b1 .
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Transcribed Image Text:2. Write the given (total) area as an integral.
a. The area above the x - axis and below y = 4 - x²
b. The area above the x-axis and below y = 4x - x²
c. The area between y = sin x and the x-axis for 0 ≤ x ≤ π
3. Compute f(x)dx
2x if x < 1
f(x) =
{
4 if x ≥ 1
4. Find the integral of your answer in problems 2a and 2b.
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