dx 11. 245 is equal to tan-1+ C c. tanh-1 + C A. tan-11+ c coth-1 **1 + C 2 B. 1+1 D.

Q: dx Evaluate: x²+ 8x + 20 x+4 A -1 tan +C B In (x²+ 8x + 20) c) None x+4 -1 D tan +C 2 x+4 E sin -1…

A:

Q: 2 6. dx (sin x – cos x)?

A:

Q: Recall that cos- arccos x. Find r1/2 e sin(cosx) dx. 0.

A:

Q: 9x Differentiate y = sec sec(; COS a

A:

Q: d. cos 3x = 0 %3D e. tan 4x - 1 = 0

A:

Q: 3 dx = cos? 3x tan 3x 3 3 tan 3x +c tan 3.x +c попе

A: We have to evaluate the integral ∫3cos23xdx.

Q: dy dx 1+8sin ?x 1 Given tan(3y)=3 tan x . Show clearly that

A: As we know that; The chain rule: fgx'=f'gx·g'x   The trigonometric identities; 1). tanx=sinxcosx 2).…

Q: Find the period of the function f(x) = cos(0.10x+2.07).  Provide four decimal places.

A:

Q: (글) 2sinh -dx = Select one: O a. co cosh O b. (글) sech tanh d. csch

A: Properties used, a) Sinh (-x)= Sinh x b) Cosh (-x)= Cosh x c) ∫Sinh x dx= Cosh x +c

Q: п What happens to x cos(nx)dx when n = 0? Justify your answer.

A: First of all, consider the given integral value and integrate.Let nx = a.Calculate dx and the limits…

Q: Find 17. d Ssin (4x) cos(4x) dx

A: Use substitution to solve

Q: (x tan x + In y )dx tan xdy + :0 y

A:

Q: a) (sinx + cos 2x)dx (+1) do b) S dx c) S (x+2)(x2-6x+5) 8 cot(In 8)

A:

Q: d e) (In|sin x)) dx

A:

Q: 10. f sin x dx 25+cos²x

A:

Q: tanr sec r dx 3

A: Here we will find the antidarive.

Q: 26) y = tan((T/6)x) Period: TT. -217 -ㅠ TT 21T -2 -1 -1 -2 -ㅠ MCL @01 %24 ElN-

A:

Q: dx = 1– cos(bx) Select one: a. br – In sec(bx) + tan(bx)| + C b. – csc(bæ) – cot(bæ) + C - - In |1 –…

A:

Q: bx + c Given tan 3 - In(x2 - 8x + 25) + 1 -dx %3D x2 - 8x + 25

A:

Q: 1 tan 2 1 1 + tan-x +C. 2 2

A:

Q: dx x² + 4x + 5 (x + 2° tan-1 + C 2 tan-1 (x + 2) + С 6) +c tan-1 D tan-1 (x) + C В O E None of the…

A:

Q: tan x- 2x°y = c 3

A:

Q: Differentiate: y = cos(5 e* ) e11 COS

A: Ans is. option a)

Q: B) Find (dy/dx) for the following 1. y = tan2(cosx)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (B) The evaluation of f- -dx is (x*+3x2 +1)[tan-( In|tan"+5| + e -In tan-( +c (i) (ii) (iii) None of…

A: No antiderivative could be found within the given time limit, or all supported integration methods…

Q: Assume sin(t) = -12 where π < t <3. Compute the following: csc (-t) = cos(t + 2) = tan(t) =

A: We have given  Sint = -1/12 , where π&lt;t&lt;3π/2  Compute  1) cosec(-t)  2) cos(t+π/2)  3)…

Q: (a) L{t+ sin 4t – e cosh nt} -

A: As per our guidelines, we are supposed to solve only first question.

Q: (a) Find dy for dx = In (3x – 2) (tan 2x) -

A: Explanation of the solution is given below..

Q: Q57.a) Find if y=sin(tant) and t=cos(x) dx

A:

Q: (c) x³ cos(x²) dx. (Hint: start by using appropriate substitution. an

A: the given integral is: ∫π2πx3cos(x2) dx we have to find the value of the given integral.   let the…

Q: Graph the nephroid of Freeth: r = 1 + 2 sinu/2

A: This graph has period: We try to find x and y coordinates for this graph. theta x y 0 1 0…

Q: Let x = 0.46 and y = 4.74. Determine the value of C when you ev |tan-(2x)dx.(Use 2 decimal digit)

A:

Q: I sec25x dx = ? tan x +C 1/5 tan x +c 1/5 tan 8x +C

A: We will solve the problem

Q: Let x = 0.17 and y = 1.76. Determine the value of C when you evaluate |tan-1(2x)dx. (Use 2 decimal…

A: This question can be solved using the concept of ILATE.

Q: The phase shift of f (x) tan(2x – n) is : Oto the left n to the left On to the right Oto the right

A: The solution is given as

Q: 2 dx (a) t = tan x. %3D 5+4 cos 2x 0.

A:

Q: FIND THE SECOND DERIVATIVE (y") OF THE FOLLOWING IN ITS SIMPLIFIED FORM (COMPLETE SOL'N): у%3D 3…

A: given that y=3 arccos1-x3+6x-x2 find the second derivative of y

Q: Find the slope of the curve r = at 0 2+cos 0 O -1.155 O None of these O-1.551 O -1.515 2.

A: I am attaching image so that you understand each and every step.

Q: 1. Find each of the following derivatives. d a. [cosh(2x² - 4)] dx b. 0| dx [tanh(4e³x+1)]

A:

Q: (d) ſ tan² 3t dt 5 cos? x – 3 tan x dx - (e) S cOs X

A: The integration of the integrals is d) tan2(3t)  e) (5cos2x-3tanx) /cosx

Q: In Va? + b² dx In x arc tan- Jo (x + a)² + b² where a and b are real.

A: We will prove the given identity by solving the integral using appropriate substitution.

Q: 3a. cos πx sin πχ dx

A: We need to integrate the given expression. ( As per our policy, we can solve 1 question at a time.…

Q: e* cos e* dx J 4 + sin²e* A 1 tan-1 2 sin e* + C sin? e* + C 2 2 tan-1 B sin e* tan- 2 1 tan-1 2…

A:

Q: t/2 SL cosx/1+ cos²xdxdy is equal to 0, siny

A: Consider the iterated integral, ∫ab∫f1xf2xfx,ydydx In this iterated integral, the integration is…

Q: Q9.a) Find if y=sin(tant) and t=cos(x) dx

A: We can solve this problem using chain rule.

Q: H.W Find y' for y = ecosx tan- (5x) * (5x² + 1)? COS

A: Given,           y=ecosx*tan-15x*5x2+1

Q: dx It sin x-cos x COS

A: To evaluate:∫dx1+sinx-cosx Solution: We know,cos2x=1-tan2x1+tan2x     ...(1)sin2x=2tanx1+tan2x…

Q: d) cos (5æ) cos(7r)dx e) S tan e sec“ rdr

A: we have to find the following integral