Calculus 2

Lesson:

Ch 5 Integration

5.5 The Definite Integral

5.6 The Fundamental Theorem of Calculus

5.9 Evaluating Definite Integrals by Substitution

Ch 6 Applications of the Definite Integral in Geometry, Science, and Engineering

6.1 Area Between Two Curves

Ch 7 Principles of Integral Evaluation

7.2 Integration by Parts

7.4 Trigonometric Substitutions

7.8 Improper Integrals

Directions:

Answer the following problems by showing the complete solution to the problem. In return, I will give you a good and high rating. Thank you so much!

Note: Please be careful with the calculations in the problem. Kindly double check the solution and answer if there is a deficiency. Please read the note in number 11. And also, box the final answer. Thank you!

7.

Evaluate the integral if it converges and enter the exact value. If the integral diverges: indicate that using the checkbox. 0 00(23: Find the area of the region by bounded by y2 = 4x and y = 2x 4 by integrating with respect to y. The area = n Find the area of the shaded region. The Image is not to scale. Consider (2:3, d=4. Enter the exact answer. Area = Evaluate the integral by any method. NOTE: Enter the exact answer. 1 = V4 - 3x4Evaluate the integral. sec 1 ( Vo ) do = 12 NOTE: Enter the exact