1.Find the indefinite integral by using the substitution x= 4 sec(theta) using C for the constant.

integral[(sqrt(x² -16))/(x)]dx

2.Find the indefinite integral by using the substiution x= tan(theta) using C as the constant for integration.

integral[(x²)/(1+x²)²]dx

3.Find the indefinite integral using C for the constant of integration. 

integral[e^xsqrt(1-e^2x)]dx

4.Complete the square and find the indefinite integral. Using C for the constant of integration 

integral[(x²)/(sqrt(2x-x²))]dx

5.Find the arc length of the curve over the given interval, rounding to three decimal places

y=ln x, [1,5]

6.Find the arc length of the curve over the given interval rounding to 4 decimal places

y=1/2x², [0,6]

7.Find the indefinite ingral using the substitution x= 2 sin (theta)

Integral [(sqrt(4-x2))/(x)] dx

8.Find the indefinite integral using C for the constant of integration

Integral [sqrt(16-4x²)] dx