x - √x x³ +1 10 15 dx

Q: 8 1 [ 0 = = √ 1 X 1+ 1 x 4 da

A: To determine whether the following improper integral converges or diverges.

Q: 1 [ 2 (ln(x))² X dx

A: Here given that a integration and we solve this integration and whether check it converges or…

Q: 5. Determine whether the following improper integrals are convergent or divergent. (a) sin (x²) x7/2…

A: Thank you for the question. Since you have asked multiple questions, we will solve the first…

Q: 2 b.) f/dx x2 ول

A:

Q: 星() ()y点r

A: We will use the bounded convergence method to show that the given integral is convergent.

Q: Identify whether the following improper integral converges or diverges. If it converges, find its…

A:

Q: Determine if the integral converges or diverges by comparison.

A: We know that sinx lies between -1 to 1. So, Using this we get:

Q: 3 , 0 dx x²-3x-4 dx

A: ∫031x2-3x-4dx Note: The problem ∫03dxx2-3x-4dx  seems incorrect. In place of dx there should be 1So…

Q: Determine whether the following integral converges or diverges. justify your answer

A: Comparison test, to find the convergence of the definite Integral

Q: 1 dx (r-2)2 а.

A:

Q: 3x 1. dx (Зx2 + 2)2 -3 2.J2 13-x 1 dx

A: Convergence of the series

Q: )J1 xvx²-4

A: ∫131xx2-4dx