What is the (2sec?x – sinx) dx O sinx + 2tanx + c O 2 sinx + cosx + c O cotx + 2 cosx + c O 2 tanx + cosx + c

Q: cos sin-cos -d0

A:

Q: Use the accompanying figure to show that 7/2 sin x dx sin 'x dx. 2 y = sinx 1 y= sin x 1

A: Given: To prove, The given graph is shown below,

Q: What is the amplitude of 3y = sin 2(x + 1)? 1/3 3 2

A:

Q: What is the equivalent expression of sin( −z) + sin(+z)?

A:

Q: Using appropriate substitution, S [sec³ (2x) – 2] tan(2x) dx is equal to

A: integration

Q: a tan secy dy dx Jo Q2) a) Find b) Is cos4xv2 - sin4x dx = (2- sin4x) + C true or false? show me

A:

Q: 4si 2xcos²x dx sin2xcos2x

A: It is given that,     ∫4 sin2xcos2xsin2xcos2x dx We have to evaluate it.

Q: 5. Determine whether the foll (a) sin (x²) x7/2 dax

A:

Q: Evaluate the dx sin 3x + c tan Vr2-3-V3 tan V3 - sin3x+c

A: The integration of a function with respect to x over an interval gives us the area between the curve…

Q: Consider ∫ x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?

A:

Q: Q3. Evaluate 2m sin2e de 5+4cose

A: To evaluate the given integral

Q: -sin20 + C , then f (0) =-cos20. 2 A True B) False

A: Solution: f(θ)=12cos2θ

Q: coso dz+ (2Z o)do= o sin © - Cos

A: Use exactness formula to check and then solve

Q: Calculate f 6 sinx cos² x dx.

A:

Q: Evaluate [sin2xcos2x, dx 1 Acos4x+C 1 ® - cos4x+C B 1 -cos4x + C Cos 1 -cos4x + C

A:

Q: Let f(æ) = - 6 sin(x)cos(x). %3D df dx d²f da?

A: Using product rule, (uv)'= u'v + v'u Here we take, u = sinx v = cosx df/dx =(uv)'…

Q: Combine two fractions by using a common denominator sin x b) cos x= 1 %3D 1+ cos x

A: As value of cosθ and sinθ revolves around +1 to -1 , they take different values depending on the…

Q: Consider ! x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?

A:

Q: eIn sec2(sin2y)dy can be evaluated by writing it as sec2y A sec2(sin2y) - cos2ydy B None (c)…

A: We will simplify the integral.

Q: Express the product sin 7x cos 3x as a sum or difference.

A: Given information: The given expression is sin7xcos3x. Concept used: 2sinAsinB=sinA+B+sinA-B…

Q: Find the W (sinx,cosx , sec x).

A:

Q: Express the product cos 7x cos x as a sum or difference.

A: The given expression is cos7xcosx

Q: (sin 3x sin 2x dx 3.

A:

Q: x is in the interval [0, 2t) * sin2x - cos2x = 0 COS

A: Given: sin2x-cos2x=0; x∈[0,2π) We know that cos2A-sin2A=cos2A…

Q: The suitable substitution to evaluate sin24(x+2) dx is None 1 [1- cos4 (r+2)] [1+ cos8(r + 2)]…

A: Topic- integration

Q: Evaluate D(sinx – 4e2) (A -cos x-32 ex

A: The given function is sinx-4e2x. Evaluate the first derivative as follows. Thus, the first…

Q: Using the result of the previous question, explain why 1 n sin" xdx = - sin"-2 xdx. n and hence show…

A: The given problem is to show the result of given integral with using the given integral result.

Q: (4) |sin² 0 cos0 d0

A:

Q: (b) 는(cosx)=-sinx (d) VI+ tan x 1+* Q1) Show that: (a) (1+x) =1+6x (e) (V): *- () %3D

A:

Q: evaluate y' for y = cos12x - sin^2 6x

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Q: The integartion of [sin(sinØ)]Ø cos dø Is: cos(sin0)+C -sin(cos Ø) + C O -sin(sinØ) + C O -cos(sinØ)…

A:

Q: Q3. Evaluate " -2n sin20 de Jo 5+4cose

A:

Q: What is the period of f(x) = sin(3Ħx – 4) + 2? %3D

A: For a given function: Time period (T) =        2(PI)     _        w(omega) Whereas addition of DC…

Q: dx is equal to 1+cos x O - cotx + cscx +c O - tanx + cscx + c O - cotx + secx + c O cotx + cscx + c

A: We have to find the integration and also find the limit in the second question.

Q: Evaluate: / sec (5x + 1).5dx Select one: O cor(5x+1) + c O tan(5x + 1) + c O cor(5x) + c O tan(5x) +…

A: Use the substitution method and simplify the given integration than integrate.

Q: Choose the correct answer If f(x)=ln⁡(cos⁡(3x)) , then f"(x) =…  -9 sec2 (3x)  9 cos2 (3x)  9 tan2…

A: Derivative problem....

Q: what is the derivate of sin(x)cos(x)?

A:

Q: What is the value of k so that dx sin(kx2) = 6xcos(kx²) ?

A: Topic - derivative of a function

Q: Express as a sum or difference.3 cos x sin 2x

A: To express: The expression 3cos x·sin 2x as a sum or difference. Given: The expression is 3cos x·sin…

Q: Show that sin x – cos x< V2 V2 -

A: Take RHS first and work on that:

Q: Evaluate the ff. 1.  ∫(3x+4)^2 dx 2.  ∫ sinx + sin(π/2-x)/cos x dx 3. ∫(1-r) √r dr

A:

Q: To evaluate sin42x cos 2x dx , the identities to be used is/are: sin4x, 1+ cos4x &- 2 (А) (B) cos?2x…

A:

Q: If y= tan(2cos3x), then dy dx Select one: a. -6sec2(2cos3x).(sin3x) O b. -6sec2(cos3x).(sin3x) C.…

A: It is given that y=tan2cos3x.

Q: Use the technique of trigonometric substitution to evaluate x2 dx 4 – x²

A:

Q: The reverse order of ² sinx cos² dxdy is ² ² ½ sinx cos² dydx y x False O True O

A:

Q: Use the double-angle formula cos 2x = 2 cos x – 1 to evaluate the integral 1 1+ cos 2x dx

A: The given integral is ∫11+cos2xdx

Q: Find Se2" sin(2x)dæ

A:

Q: Evaluate: tan(4x +3)dx A 4 A -In |cos (4x + 3)|+c B -In |sin(4x + 3)|+C 1 (c) -In |csc (4x+3)|+C D…

A: Integral calculus is the fundamental discovery was the link that exists between this and the…

Q: The simplest form of tan2x is secx-1 Select one: a. tan x b. cos x +1 C. sec x + 1

A: Given:     To determine: The simplest form