Evaluate the integral. 28) sin dt A) -cos B) cos C) 5 cos + 6 D) COS 1/5 +

Q: Find the angle x in the interval [0  , 360 ) degrees satisfying each of the following information:…

A: To find angle x in the interval [0°,360°).

Q: Show that π/2 [*¹2 J₁ (z cos 0)d0 = 1- cos z Z

A:

Q: Evaluate f sin(5/z) -dr Select one: a. 금cos(5/z) + C b. 5 cos(5/a) + C – cos(5/x) + C C. d. cos(5/2)…

A:

Q: sin 0 If 1+cos 0 x2 x2, then tan 2 - a) b) 4 c) x2 + 1 d) x2 |3| 2.

A: Given,  sin θ1+cos θ=x2 To determine tanθ2

Q: Q5: Find: a) £[3-5e²t + 4 sin t - 7 cos 3t] b) C- 3.s s²+16 5 s² +

A:

Q: Use the definitions of sin(z) and cos(z) T 2 prove that sin z+ = cos(z) for all z E C. (Do not use…

A: Answer :-

Q: Find the product of z1 & Z2, leave answer in trigonometric form: 235 (cos플 + isin) & z2 =: +i sin 3…

A: We know that for  z1 = r1 cos θ1 + i sin θ1  and  z2 = r2 cos θ2 + i sin θ2 z1·z2 = r1·r2 cosθ1+θ2 +…

Q: 9. Let r = 3 sin tî + 3 cos tj + 4tk. Calculate N

A: Given r(t) To find N(t)------ unit tangent vector

Q: Evaluate e cosh 2t -3t s13 d) 4(s? - 6s-5) 3. s43 a) 4(s-6s + 5) b) 4(s? + 6s - 5) c) 4(s + 6s +5)

A:

Q: 2) Vxe R. It is given that f"(x) > 0

A:

Q: %3D Solve for the unknown measure of ZX in 15 = 132 + 102 - 2(13)(10) cos X O a) about 64° O b)…

A:

Q: Evaluate the following integral CoSx 4+ sin?x Select one: O In(4 + sin?x) +C tan "() +c 1 sinx 4 4…

A: Let I=∫cosx4+sin2xdx

Q: (a/3 d(cosx) =? 24 - sinx O A) V3/2 O B) 1/2 C) -1/2 O D) -1/3 E) T/3

A:

Q: Integrate. Simplify answers A) fet-se 4-5 dr

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Show that COS x dx a² – x² sin a 2а where a is some positive number.

A:

Q: from Evaluate cos r sin x dr.

A:

Q: Which of the choices below is an appropriate trigonometric substitution for evaluating the…

A: To find the appropriate trigonometric substitution for evaluating the indefinite integral…

Q: x sin 2x sin COSX 8. Prove that: %3D 2x-7

A:

Q: Express as a sum.(sin ax)(cos bx)

A: Given : (sin ax)(cos bx)

Q: Evaluate cos |a+ 3 if sin a = 3 and a is in quadrant II.

A:

Q: Use complex analysis methods to find T = 6²² 5 I 2π cos 2x 5 + 4 cos x dx.

A:

Q: xz •Evaluate So So So ²³x² sinydydzdx X

A:

Q: Evakate: fcos 2xdx cos2x, cos 2x +C A sin2x sin 2x B 6 +C sin2x, sin 2x +C 6 2 cos2x cos 2x +C D 2

A: To evaluate: I=∫cos32x dx

Q: 1. Express as a sum or difference a.) sin 7t sin t b.) cos 6u cos (-4u) c.) cos 2t sin 6t d.) 2…

A:

Q: 0sin 2 x coOS x dx

A:

Q: iv) Evaluate fsin' x cos² x dx .

A:

Q: Evaluate 3 L, cos¹ (2+1) dr. -1

A: l have given the answer in the next step. Hope you understand that

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.