For each of the following integrals, does the Fundamental Theorem of Calculus (FTC) Part 1 apply over the specified interval? If it does not apply, state why it does not apply but do not attempt to evaluate the integral. If it does apply, evaluate the integral using FTC Part I and show all of your work. (a) √²2² +10 2² (6) ( +1 dz da

Q: Use the Fundamental Theorem of Calculus to evaluate each of the following integrals. 3 (a)…

A: Evaluate the given integrals

Q: ental Theorem of Calculus. Remember to include a "+ C" if appropriate.

A: Here we have to evaluate  by the fundamental theorem of calculus.

Q: r2V2 Vx2-4 dx

A:

Q: Evaluate the definite integral. Show all work. You may check your answer by using your So x² dx…

A: The given integral is ∫01x2x3+2dx. We have to solve this integral.

Q: D) Calculate the following definite integral: [* (/{√x - 1) dx

A:

Q: (1) (2) La (10— 2х) dx xdx

A:

Q: · [₁² b. e2r sin r dr

A: The given integral is ∫e2xsinxdx

Q: (7) sin √x dx. (First substitution, then by parts)

A: The solution for the given integral is as follow.

Q: For the definite integral, do the following. Vx2 - 16 dx (a) Evaluate it using the table of…

A:

Q: n the following exercise, use a change of variables to evaluate the definite integral. =dx ,V1 +x²…

A: Solution:

Q: [7] Use long division and complete the square to solve the following integral. x² - 4x-2 dx x² -…

A: Explanation of the answer is as follows

Q: Use an appropriate trig substitution to integrate x/sqrt(9-x2) dx.  Clearly show how your work with…

A: For integration by trigonometric substitution problems, Depending on the function we need to…

Q: Solve S 18x-17 √9x²-18x+18 dx.

A:

Q: dx -2 (5-4x- x²)2

A:

Q: X 3x2 +5 dx x4

A: To find the indefinite integral and to check the result by differentiation.

Q: | sec* x tan x dx

A: Given integral is ∫π4π2sec4x tanx dx