Find the indefinite integral using the substitution x = 7 sec(0). (Use C for the constant of integration.) 3 √x³√x² x²-49 dx

The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?

Evaluate the definite integral: (x- 1)(7x +7) dx = %3D

Complete the square and find the indefinite integral. (Use C for the constant of integration.) x2 xp V2x - 2х —

Use formal substitution to find the indefinite integral. Check your result by differentiating. (Use C for the constant of integration.) V 8x + 9

/3 – 2x x² dx

∫-10 − x2 (4x3 +5)3 dx Determine the value of the definite integral given above. Enter your answer as an exact fraction if necessary.

x3 dx 2. 3-

Find the indefinite integral and check the result by differentiation. (Use C for the constant of integration.) x + 9 xp