question 1 Distinguish between a definite integral and an indefinite integral. (use examples) question 2 What...

question 1

Distinguish between a definite integral and an indefinite integral. (use
examples)

question 2

What is the conceptual meaning of the derivative? State an example.

question 3

Find the area of the region bounded by y = 9 - x^2 and y = 0. Sketch the
graph and shade the region. Graph on attached grid paper. Make sure the
graphs are accurate and not just rough sketches.

Expert Solution

milcah answered 2 years ago

What is the difference between and definite and indefinite integral, the graphical interpretation of the definite...

What is the difference between and definite and indefinite integral, the graphical interpretation of the definite integral and the connection between the summation approximations. (left, right, trapezoid) with the definite integral.

evaluate the indefinite integral sqrt(4-x^2)

1. What is the difference between the Riemann integral and the Darboux Integral? 2. Give the...

1. What is the difference between the Riemann integral and the Darboux Integral? 2. Give the same characteristics between Riemann integrals and Darboux integrals !.

1. Use integration by parts to evaluate the definite integral: ∫0.8 to 1.7 8ze^2z dz =...

1. Use integration by parts to evaluate the definite integral: ∫0.8 to 1.7 8ze^2z dz = 2. Evaluate ∫√cosx sin^3 x dx

1.) Evaluate the given definite integral. Integral from 4 to 5 dA∫45 (0.2e^−0.2A +3/A) dA 2.)...

1.) Evaluate the given definite integral. Integral from 4 to 5 dA∫45 (0.2e^−0.2A +3/A) dA 2.) Evaluate the definite integral. Integral from negative 1 to 1 dx∫−1 1 (x^2+1) dx 3.) Evaluate the definite integral. Integral from 0 to 2 dx∫02 (2x^2+x+6) dx 4.) Evaluate the definite integral. Integral from 1 to 4 left dx∫14 (x^3/2+x^1/2−x^−1/2) dx 5.) Evaluate the definite integral. Integral from negative 2 to negative 1 dx∫−2−1 (3x^−4) dx

Consider the definite integral ∫05 ((3x − 1)/(x + 2)) dx a. How large an n...

Consider the definite integral ∫05 ((3x − 1)/(x + 2)) dx a. How large an n do we need to use to approximate the value of the integral to within 0.001 using the Midpoint Rule? b. How large an n do we need to use to approximate the value of the integral to within 0.001 using Simpson’s Rule?

Use Simpson’s Rule with n = 4 to approximate the value of the definite integral ∫4...

Use Simpson’s Rule with n = 4 to approximate the value of the definite integral ∫4 0 e^(−x^2) dx. (upper is 4, lower is 0) Compute the following integrals (you may need to use Integration by Substitution): (a) ∫ 1 −1 (2xe^x^2) dx (upper is 1, lower is -1) (b) ∫ (((x^2) − 1)((x^3) − 3x)^4)dx

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question 1 Distinguish between a definite integral and an indefinite integral. (use examples) question 2 What...

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