(i) Use the chain rule to show that -3x = (In 3)32 dx Hint: use the fact that 3 = eln 3ª (ii) Use integration by substitution to find the integral [3 3 cosh 3 dr Use integration by substitution and then a trigonometric identity to find the integral [22 2x sin²(x²) dr

Q: I sin³x 5 sin x 4 cos x dx

A: To find out the integration.

Q: sec2(Arctan x) dx 1+ x²

A: We have to use integration by substitution technique. we can use substitution for Arctan x.

Q: Use trigonometric substitutions to evaluate the definite integral 1 [5x²³√1-x² dx.

A:

Q: Evaluate sin (3x) dx using integration by parts / Tabular Method.

A:

Q: Find the indefinite integral using an appropriate trigonometric substitution and showing a right…

A:

Q: How to solve this integral via trigonometric substitution?

A:

Q: 12 cos6x. sin³ xdxCalculate "/2 3 the integral

A: It is integral problem.

Q: .2 /1+ x² dx

A: Explanation: Given that,  Let us assume Differentiate

Q: 1) Given the two vectors, both start at the origin; (3, 4) and (-3, 4), find the angle between the…

A: The given two vectors are (3, 4) and (-3, 4). The vectors can be drawn as shown below.

Q: Watch the video on the integral of (tan(x))^3 before answering this True/False: 1 tan° x + c 6. tan…

A: Here I am attaching image so that you understand each and every step.

Q: 4 1-x² xp:

A:

Q: Ssin(Tx)cos (3Tx)dx

A: We will use the formula Sin (A) Cos (B) =1/2[Sin (A+B) +Sin(A-B)]

Q: sin 20 23. do Vcos*0 + 4

A: Explanation of the solution is given below...

Q: sin x-1 x+cos x -dx

A:

Q: Scos(4x)cos(9x)dx

A: We need to find ,

Q: 3 4. y sin³ 4x cos 4x =

A: The given function To find:-The integral in terms of sine function