6.5.4 Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the following curve on the given interval. y = 6 cos 2x on 4'2 An integral that gives the arc length is dx. (Type exact answers.)

Q: Evaluate the integral. |sin° (x)cos“ (x)dx

A: In this question, the exponent of cos(x) is even i.e. 4, and the exponent of sin(x) is odd i.e 5,…

Q: f. f S tan° r sec xdr tanx sec

A:

Q: ·2² cos(32)dz where C It's the curve 4x2 +9y? = 36

A: Cauchy - Gaursat theorem is used to find integration

Q: length of the curve. y=coshx between x 0 and x In 2. 2. Find the arc %3D exact -2- 1. 0. 2.

A:

Q: Evaluate the integral.

A: We have to evaluate ∫3sinθ cosθ dθ Let substitute t=sinθ ⇒dtdθ=cosθ⇒dt=cosθ dθ Substituting the…

Q: Evaluate the following trigonometric integrals: 1+cos 2 0 L, V4 – x2 dx Hint: Put x = 2 sin 0 and…

A: We evaluate  this integral of trigonometric ratios by using substitution method and basic…

Q: Question 1 Determine 1.1 y= of the following and simplify if possible. dx x√√1 + x² 3x

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the roots of the equation: sin(x) = x² – 4x to the correct six decimal places using Newton's…

A: Let the given equation is sin(x)=x2-4x