Let y be a line segment from z = 2i to z=7+2i. What is the value of the integral fs (2 )dz , where f (2 ) = cos²(-)-1? 극(2isin 2-n) (++2sin 2i) a- z = C- (++2cos 2i) 2 b- z =- d- None of these The correct answer is (a) The correct answer is (b) The correct answer is (c) The correct answer is (d)

Q: b. Stos-¹0 ¹(y) sinx √1+ sin2x dx dy

A: The given integral is, ∫01∫0cos-1ysinx1+sin2xdx dy. To find : Evaluate the integral. To evaluate the…

Q: Show that J (x) = 2 sin x

A: By definition,                  . Now,  we need to prove the above statement by taking n = 1/2.

Q: x sin wx dx x2 + 6x + 10 Show that (2 sin 3w – 3 cos 3w) w > 0 %3D - 2e2w

A:

Q: S(sinx – cosx)²dx COoSx

A: Given, ∫sinx-cosx2dx  We have to find the integral.

Q: -cosh(2x² + 1). Evaluate (A) 4xsinh(2x² + 1) B 2xsinh(2x²+1) C) xsinh(2x2 +1) с D (2x2 + 1)sinh(2x +…

A:

Q: csch (2 sin2x) dx 1. V1-4x² r(²-1)cos[cosh (In r)]dr OS 4.

A:

Q: Find the first and second derivatives of r = [3 cos 2t, 3 sin 2t , 4t].

A:

Q: Find , where : = sin (a²) cos (y*) O 2.r sin (a²) cos (y²) O 2r sin (x²) 6.x sin (a²) cos (y²) 2x…

A: We have to find partial derivative of z  with respect to x.Given a function of two variables, ƒ ( x,…

Q: Ssin8 (3z) cos5 (3z) dz

A:

Q: 7. 1-3√√x X 2 X √ √ 3 -dx

A:

Q: cos 0 = √√2 -|~

A: Let's find angle theta.

Q: (ii) Evaluate J dx. COS TI

A:

Q: 2. Perform the indicated operations: (2D2 - 3D+5) (xcox x- 3) a. b. (D3+2D- 4) (e*sin x + e2x)

A:

Q: 4. sin 2x cos 2x dx

A: Here we integrate the given function.

Q: x cos r+ sin r -dr. Find x sin r 5.

A: The given integral,     ∫x cosx+sinxx sinxdx

Q: Let a be a constant. Evaluate 2 ((2* + 2² + a) sin(4x³) + 12a²)dx.

A:

Q: d²s dt2 sin 3t + cos 3t |

A: In this question, we need to find s.

Q: 2. (tan5 4x tan² 2x sec2x)dx

A: To solve the given integral, we can use the substitution method.Let's substitute u = 2x, then du = 2…

Q: Find a sin²(x) dr. 16 +1 R

A: