30. y = tan 4a

Q: If y = tan-1 xy and (x = 2, y = 3) y will be equal to?

A: See the attachment

Q: → 61. y = In (tan¬ x)

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: 5. (tan2x + cot2x)² dx

A:

Q: 1 + tan² dx

A:

Q: : (풍). 11. Give the exact value of sec

A:

Q: 6 tan (10x) dx

A:

Q: 28. tan (2x) sec (2x) dx

A: follow the procedure given below.

Q: Evaluate. sec?x tan x dx

A: As we know that the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 From the given problem:…

Q: If y = tan¬1 xy and (x = 2, y = 3) y will be equal to?

A: If y=tan-1xy  and x=2, y=3 We need to find the y'. Formula for  y' is, y'=11+xy2×x=x1+xy2

Q: S tan5x dx ап

A: Solved below

Q: How many points lie on the intersection of the horizontal line y = c and the graph of y = tanx for O…

A: To Find  How many points lie on the intersection of the horizontal line y = c and the graph of y =…

Q: S(4 sec x + 3 tan x)²dx

A: We will solve the problem

Q: 4. y = tan(x + a), , where 2x

A: You are asked for multiple questions. As per our guideline we can do only one. Please repost others.

Q: S tan ( – y) dy 4

A: ∫tany4-y dy=∫tany-4y4 dy=∫tan-3y4 dy Now put, -3y4=t⇒-341=dtdy⇒dy=-43dt

Q: 12 If sinh x= find cosh x, tanh x, coth x, sech x, and csch x. 35

A: Given, sinh x = 1235   We have to find  cosh x, tanh x, coth x, sech x  and  csc hx

Q: Hilw ) Find tan 2x dx

A: To find integration (0 to (π/6)) tan2xdx

Q: 16. Evaluate ft tan5 x sec¹ xdx.

A: We know that Sec²x = 1+ tan²x ∫ xn dx=( xn+1)/(n+1)

Q: 1 Evaluate tan (2x) dx.

A: Question is solved by method of integration by parts.

Q: 15. y=Arccos (x²)

A: The given function is: y=Arccosx2   As we know that: The Chain Rule: fgx'=f'gx·g'x The Power Law:…

Q: Evaluate the integrals

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: 19. Solve for x:x = (tan e + cote)² sin?e - tan?

A: Given that: x=(tanθ+cotθ)2sin2θ-tan2θ

Q: 2- S tan x dx.

A: Given integral is: I=∫0πtan x dx We have to evaluate this integral.

Q: Find dy/dx

A: y=∫tan x0dt1+t2

Q: find the value of x  tan3x=sin 45ocos45o+ sin30o

A: given expression :

Q: evaluate the integral.

A: Let,

Q: evaluate the integrals

A: Substitute x=cos θ⇒dx=-sin θ dθ

Q: 27 Find y' if y =4 sin ditE

A: We have to find

Q: = 1 + 3y tanx

A:

Q: S tan 2x dx

A: Consider the given integration. I=∫tan2x dx Use trigonometric identity. tan2x=sin2xcos2x So,…

Q: 1. Evaluate (sec²x tan²x ). dx

A: To find dsec2x tan2xdx Given function is y=sec2x tan2xwe know that, sec2x =1+tan2xthen…

Q: 14) y = tan (x) b. a. 10- 10- -10- c. 10- 10- 10-

A:

Q: (8. e Sin y Ausi Sin 2

A: Solution is written in below steps.

Q: 7/3 tan'x secºx dx 30.

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 7. fex tan¹(ex dx

A:

Q: 25) y= Arctansinh x

A:

Q: evaluate the integral.

A:

Q: 3 tan-(x)dx = In (4) 2/3 None - In (4) 품-In (2)

A:

Q: Compute / tan x · sec a dæ.

A: detailed solution is given below

Q: (2) y = tan³√/cot (7x)

A: 1. Given: lnx-y=xy+y3 Differentiating as, ddxln x-y =ddxxy+y3⇒1x-y1-dydx…

Q: S tan |2x dx Evaluate

A:

Q: b. use tand=-1 d. cusd- e. f. sin--

A:

Q: If arc WX=40 and arc YZ=92 find measurement 3

A: GivenWX=40°YZ=92°Angle ∠3 can be calculated as -Angle ∠3=WX+YZ2=40+922=1322=66°Therefore Angle∠3 is…

Q: 18) y' = y tan(2x), y(0) = 2

A: Differential equation. Solving only ques 1 as per guidelines

Q: If y= tan (kx) + tanh'(kx) and (1 - 625 x) y'=A Then K=, -.... Answer:

A:

Q: 25. | (3— 2 tan? 5х) sec2 5x dx

A: Solve the following integral

Q: If y = -sin x, what x-value corresponds to a y-value of 1 between 0 and 27? [? ]T

A:

Q: tan³ r sec' rdr

A: The given integral is ∫0π4tan3x sec4x dx. Let u=sec x. Then du=sec x tan x. Then, the lower limit…

Q: Find (In æ)tan(z)) E Please select file(s) Select file(s)

A:

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.