sin z = -isinh (iz) %3D ulgn

Q: sin x expx dx

A:

Q: ∫sinx sin(cosx) dx

A: ∫sinxsincosxdxLet u=cosx=∫ -sinudu=-∫sinudu=--cosuSubstitute back u=cosx=--coscosx=coscosxAdd a…

Q: .fe* sin( -4x)dx

A:

Q: valuate sin

A: We have to find the value

Q: sin 6xcos 3x dx

A:

Q: sin“ x dx =

A: Given intregal  function

Q: cot (3x) За co dx csc 3x + 1

A: To evaluate the given integral.∫cot33xcsc3x+1 dx

Q: y=(sinx)cosx

A:

Q: S(Sinx +CoSX) 人×

A: Solution: The objective is to find the value of the given integral

Q: sin(Vx

A: ∫sinxxdx = -2cosx + Cexplanaton is given in below step

Q: sin'x dx

A:

Q: cot x dz In (sinx)

A:

Q: nsform of 20 sinc (10(t - 10)

A:

Q: Differentiate sin y =a'

A: Consider  y=asin−1x2

Q: sin (15x) cosº (15x)dæ

A:

Q: Find the value of § cot³(x) cosec“ (x).

A:

Q: ∫sin√x dx

A:

Q: 1. sin

A:

Q: tanode B В sec®

A:

Q: cot x dx In (sin x)

A:

Q: Sinx dx

A: Here we have to calculate the integral in the given limit: ∫−π6π6x6sinx1+x10dxwhere   fx=x6sinx1+x10

Q: Sin CxY)+ In ~メリニメ

A: let y'=dy/dx

Q: sin (플 + z) + sin (-a) is equivalent to: 4

A: Given the trigonometric identitysin(π4+x)+sin(π4−x)

Q: Sin (Lnx) elX

A:

Q: 12 S sin e (coto csc@) do

A:

Q: 9. sin cot x. xo a

A: According to our guide we can attempt only one question so i am providing answer for 1st question .

Q: sin x dx

A: Consider the given integral.

Q: sin tan SI

A: Topic = Trigonometry

Q: sinx dx

A:

Q: FTi csc x = 4,90° < x < 180°, then %3D sin cos %3D tan %3D II II

A:

Q: y = cosx sinx

A: Given query is to the derivative of the expression.

Q: Using integral table

A:

Q: Differentiate sin y = a

A:

Q: Differentiate sin x? +1

A: According to the question,  We need to differentiate the function,  Function: sin x2 +1

Q: (tan 2x + cot 2x)² dx

A:

Q: g)Sinhy=tanx ind

A:

Q: ble. =sin

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: fex) Cos X ノ

A:

Q: 10. sin t * cost

A: In this question we have to find the Laplace transformation.

Q: Sin'xdx=?

A:

Q: sin(8x – 5) dx

A: Given: Let I=∫sin8x-5dx To Find: To evaluate the given integration.

Q: गयहिनाड ते coSx+cosy Cotx dx CSC X

A:

Q: s tani! Stan tanx dx JI+ X

A: The solution are next step..

Q: + Sin (2x) de

A:

Q: Sin'd du

A: Given: I=∫sin−11xdx

Q: Sin Z.bone tonbe

A:

Q: cot x sinx dx

A: By substitution method, integrate the function. Substitute sinx =t

Q: tan zdr

A:

Q: 1. csc² x cot rV csc x –1 dx

A:

Q: ans arccos(x + 7) = arcsec(x)

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.