5. Find the value of the indefinite integral: dx Begin with Algebraic Long Division.

Use substitution to find each indefinite integral. а. 4(2a+3) da b. ZV422 - 5dz

Determine the value of the following definite integral. 15x+20x³ dr R 3²+32 Leave your answer in exact form, for example: 3 (In 6 - In 4).

Help by first completing the square, making the appropriate substitutions, and evaluate the integral please

Alert for not submit AI generated answer. I need unique and correct answer. Don't try to copy from anywhere. Do not give answer in image formet and hand writing

[. f(s) ds such that A expresses the change in the area of the surface of a cube when its side length, s, increases from 5 units to 12 units. Evaluate the integral to find the change in surface area. Write an integral in the form A = a = 5 b= 12 f(s) = Change in surface area = 714

Decide whether you can find each integral using the formulas and techniques you have studied so far. Explain. (a) ∫2dx / √(x2 + 4)        (b) ∫dx/x√(x2 − 9)