Q4) Evaluate the following integral using Trigonometric Substitutions Method: 1- x dx y =

Q: Find d2y/dx2 for the following functions: b) y = cos*(sec? 3x) 4 = COS

A: We are given : y=cos4(sec23x) ⇒dydx=4cos3(sec23x).(-sinsec23x).2sec(3x)sec 3x.tan…

Q: 2: Evaluate: Jsin x R/2 dx. Vsin x + Vcos x 01

A:

Q: 57. Use Eq. (5) to find sin x dx.

A:

Q: х+1 3. J 25 – x²)3/2

A:

Q: Simplify the equation: sechx + sinhx tanhx cosh z cosh a sechx 1+ sinh 2 cosh z

A:

Q: Use an appropriate trig substitution to integrate x/sqrt(9-x2) dx.  Clearly show how your work with…

A: For integration by trigonometric substitution problems, Depending on the function we need to…

Q: Use Trigonometric Substitutions dx 1. xVx +16 x*dx (x² – 1)"2 2. 3/2

A:

Q: Give an interval over which you could integrate to find the area of one leaf of the rose r = 2 sin…

A: r=2sin3θ

Q: (4 csc x cot x + 2 sec² x) dx

A:

Q: Consider the following: 25x squared +64y squared =1600 C) differentiate the explicit functions…

A:

Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

A: Given integral is We will use the following substitution as follows.

Q: x+1 dx (25 – x²)3/2

A: We will evaluate the given integral as shown below by using trigonometric substitution

Q: 2. Cos4 Sin (Sinz) de

A: We have to solve

Q: 1. csc² x cot rV csc x –1 dx

A: