Evaluate the integral by making the appropriate substitution: u = 38 fa² (2³ − 1) ³ dx = [ - 38 fx² (2³ − 1) d. dx,

Q: Evaluate the ff. integrals using substitution: dx 1. S (5-2x)2

A: 1. Using substitution u=5-2x

Q: x - 7 dx. /x². Evaluate the integral 2

A: Answer and explanation is given below..

Q: sin³ x dx 7. Evaluate the integral:

A: Given:         ∫0πsin3x dx

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: Calculate the integral: 1 dx = x2 + 14x + 48

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the remaining…

Q: Evaluate the integral: 16 2 +1 dx. Vt 4 Round your answer to the nearest tenth.

A: Solve by the process shown below. Try to substitute suitable value to get the integral.

Q: -3v3 dx V9+x?

A: Evaluate the intregal

Q: Use integration by substitution to calculate the following integral:  ∫ x exp(-x2) dx

A: The idea is to note that the derivative of x^2 is 2x and we get an idea of what to substitute. The…