rals below. For each integral, first calculate the related indefinite inte- on by Parts, then evaluate between the given limits, as in Example 3, show your work in each case. Give your answers in terms of T or e (or te. (1v) / | 64x7 In x dr (v) xe2x dr. (vi) L: x cos 3x dx

Q: r sin(T|2² - 1) cos² (7|2² - 11) da -3

A: To find the following definite integral.

Q: Find the indefinite integral using the substitution x = 5 sec θ.

A:

Q: -1 tanx 4. 1+x?

A:

Q: Use the change of variable formula and U-substitution to evaluate the definite integral. Hint: V93 =…

A:

Q: Evaluate the Integral. Take the integral from - pi/4 to pi/4 from the function 8 cost i + 7 sint j…

A:

Q: Use Table to evaluate the following definite integrals.

A: Given: ∫0110xdx

Q: b) Evaluate the following indefinite integral: S even dx

A: The given problem is to evaluate the given indefinite integral of the following function. Given…

Q: 3. Find each definite integral: A. S(x- 3x) dx | -1 B. ( 2cosx + 2sinx dx

A:

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A:

Q: Identify the appropriate substitution for the following integral: Sesin z cos adx

A: Assume u=sinx then du=cosxdx. Substitute sinx=u and cosxdx=du in the given integral.…

Q: use geometric rules to solve the following integral

A: The given integral: ∫13-2x+8dxWe have use geometric rules to evaluate the integral.