tanla= 2 with 3T LaL2p 3 2 and Sin lb) = 3 with IT L6LT 2. %3D

Q: The value of | sin(x + y) dx dy is

A: We will use the fact that  sin(x+y)=sinx cosy +cosx siny to evaluate the given integral.

Q: IX. Find y' if 1. (5 pts.) y = 2 In (cos (Tx)) 2. (6 pts.) y = csc² (Arcsec (Va) + e-)

A:

Q: , π/2 cos x esinx dx=?

A:

Q: The appropriate trigonometric substitution for * dx is V3x-x 3 3 X ==+ sin 0 2 2 sec 0 4 2 O Option…

A:

Q: arc cos (11x) VI-121 y2 G(x)=?

A: We are asked to find the derivatives.

Q: sec2 a tan ydx+ sec? y tan rdy = 0.

A:

Q: sin(l nx)dx = ?

A: According to the given information, it is required to solve the given integral.

Q: E valuate sin" e cae de

A:

Q: Sy? sin y dy

A: Here we have to integrate the given integral

Q: (s,+)=(-3,1) X=5?+2+? y= 6st a) 4s x sinly) + 6+x?coscy) at (-3,1) b.) 8tx Sincy) + 6sx? Coscy> at…

A: GIVEN  (s,t)=(-3,1) X=s2+2t2  Y=6st substituting the value of s,t for X and Y we have  X=(-3)2…

Q: Find y'. Given: y = -sin(4x)cot(4x) %3D

A:

Q: a2z (2), find a²z + ду? If z = arctan

A:

Q: dy sin(x) Find for y = dr -3

A:

Q: sec2 t dr 42. dt (п, 4) TT tan t + 1'

A:

Q: [(VxA)• dS over the surface of a hemispherical b 2 and its circular rim if A = 3 sin()â

A: Sol

Q: If y = cos x + sin 2x, find the value of y” - y’ +3y

A: We will differentiate the given function.

Q: | (3)² – (cos(x))² dx cos(x))² dx Vs.

A: Given data:     The first integral expression is: . The second integral expression is: .   The…

Q: 4. y = csc x sin x + (sec? x + tan²x)

A: I have stated the used formulas in the solution

Q: a) cosh (x) tanh' (?) = sech'! (?) find the "(?) " %3D %3D b) ln () = ? --

A: We are given : cosh-1(x)=tanh-1?=sech-1(?) Let,   Now, cosh-1(x)=tanh-1t=sech-1(y) Taking…

Q: 3. y = tan(sin 2x)

A: Please see the answer below.

Q: 5. Sx? cos 6x3 dx %3D

A: We have to evaluate the given integral by using theorems of antidifferentiation.

Q: differentiate g(v)= ln ( arctan(3v)/arcsin(7v)+v^2?

A: The given function is,

Q: Evaluate. de ls tan(3r)] dæ 금 sec? (3x) sec (32) sec2 (3x)

A:

Q: find dy Say y=3 Sin 8)

A:

Q: I+11z|10 dx=? O a. 2lna + arctan(x + 2) – In((x + 2)) + C O b. Inx? + 5arctan(x + 2) – In(1+ (x +…

A: ∫x2+11x+10x3+4x2+5xdx

Q: Differentiate.

A: Consider the provided function, y=cosetan3x Differentiate the provided function with respect to x.

Q: dr Given arcsin(z) = arccos(r²), solve for dz |

A: Given: arcsinz=arccosr2 To find: drdz This is a problem related to the derivative of the function.…

Q: dx 7. = cosx cos² t dt

A: 7). To solve the differential equation: dxdt=cosx cos2t Solution: Re-arranging the given…

Q: 36. sin x dx, with 6 rectangles using the Right Hand Rule.

A:

Q: seco SI sin 20 dp dộ dên o Jo

A:

Q: 2 sin3 y dy = 3 0,

A:

Q: (d) > sin km/2 S.

A:

Q: If y=sin-t+ tant, xr= - In(-cost)-esinr, find the value of y when +VZe V? -Vzle 2 2/3 V2-e ?

A:

Q: dx cot 2x cos 2x 4,

A:

Q: 6 3 oy sin (a? + 3²) dædy Find

A:

Q: i?? cos(2t) dt csc(10t3)

A:

Q: Differentiate. y = 8x? cos(x) cot(x) y' =

A: Differentiate both sides with respect to x,

Q: sečxdx ztanx 5-9tarix ansi sin 2

A: Solution is done in step 2

Q: 5. J sin42x cos22x dx.

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

Q: 1. dy = %3D COSX cotytanx Cosy dr

A: Given- dy=1cotytanx-cosxcosydx To solve the given differential equation. Here we will arrange the…

Q: Example : Find S“ (cos ti + sin tj+ tk)dt

A: We can do integration w.r.t. dt

Q: If y = (tane) /28 +1 find dy then choose the correct answer: %3D dx

A:

Q: Evaluate the intergrals. ∫ ex sin2x dx   show the complete solution. step by step

A: There are exponential function and trigonometric functions in the product in the given integrand.…

Q: 4. S cot63x dx de 5.55 sin

A:

Q: Eoaluate dx, Hence find the value of sin dx.

A:

Q: Using a similar method to above, that is, integrating by parts twice, the following result may be…

A: In this question we have to prove Integration by using Integration by parts.

Q: A bascboll is thrown with an nitial velocity of 45 myr = 6ol6 f%s at an angle morizontal and from…

A: Given: Initial height above the ground h0 = 5 feet Initial velocity v0 = 66 feet/second

Q: (7/6 sin t dt cost 39.

A:

Q: 1) I = ft e" dt 2) I = Se-2x sin 2x dx

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.