12.) sin(1/a )de 13.) - xp- 14.) (x+x!)*dx

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: 1 Use the Trapezium Rule, with seven ordinates, to evaluate In(sin.r+3)dxcorrect to four decimal…

A:

Q: Given that " = n, sin (x) dx 3 -T, what is 8 sin (0) de?

A:

Q: | sin(6y) sin(8y) dy.

A: we have to solve the integral

Q: Given the integral [sec (x - 1) tan4 (x − 1)dx, which of the following equations will be useful for…

A:

Q: Suppose y = sina, which is TRUE about y? 1 Oy= sin O none of the above y 0 *= arcsing O * = sin y

A:

Q: make the given substitutions to evaluate the indefiniteintegrals. ∫sin 3x dx, u = 3x

A: Now put

Q: 5. Find the values of a and b such that dx tan 1 + sinx a + b . %3D

A: We need to integrate ∫11+sinxdx

Q: D?/if w= Cos (X+y)+Sin (X-y) Show that

A:

Q: sin x =dx V6 cos x – cos? x – 2

A:

Q: 4 cos x -dx 1+ cos x

A: Our Aim is to evaluate the integral given below:-∫cos4 (x)1+cos (x) dx -(i)

Q: L[sin bd]- show that

A:

Q: Question 3 Use the trapezoidal rule with n = 5 to approximate %3D 2 cos(x) dx. Keep at least two…

A:

Q: 5.) Scesin 2 sinl 3x) - 5 cos ( 2x))·dx

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Q: s Sin'2o Cos 20 do

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Q: sin(3 dx

A:

Q: Evaluate the integral tan 4x dx tan? 4x - 24 nltan- O inltan 4x + Vtan? 4x – 24| + C 1 Arcsec tan 4x…

A:

Q: 5. Use substitution to find S sin1º0 cos 0 d0.

A: We will find the integration.

Q: Eliminate the parameter: I = sin 3t, y = cos 3t, 0 <t <T/3. = COS

A: x= sin 3t     and y=cos 3t     for    0≤t≤π3 We need to eliminate the parameter i.e. we have to…

Q: Find the area between the inner and outer ovals of r = 4(1+sine

A: I am going to solve the given problem by using some simple calculus to get the require

Q: Q/ ind dy if 24-sini' (xe!)=sin'(x*)+ cos (x")

A: Given that      2y - sin-1(x2+1) = sin2(x4) + cos2(x4) Here we have to find dy/dx.

Q: Compute / / sin(x²) !! dr dy.

A: The double integrals can be solved by solving the inner integral first followed by the outer…

Q: 6. cos x sinỗ xdx

A:

Q: 1) Evaluate. x cosh ax dx

A: As per guideline we have to solve one question

Q: 5T then 4 If 0 = - cos(0) = sin(0) = Cive evact values No do imale

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Q: If (Mesin(2) dx = e°sin(2») + C, then the M is equal to

A: On solving this we will get

Q: Using appropriate substitution, ſ sin1º(x)cos³(x)dx is equal to: an

A: By using integration by substitution.

Q: Given the integral sec6 (x − 1) tan4 (x - 1)dx, which of the following equations will be useful for…

A: The given integral,       ∫sec6x-1tan4x-1dx

Q: use a geoetry formula to find the exact value of the definite interval (-2x+4) dx on the interval…

A: The given function is (–2x+4) with the interval [0,3].

Q: The area of the region that lies inside r = sin0 and outside r=1 cos60 is given by:

A:

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

A: Solution:-  tana=-23   with 3π2&lt;a&lt;2π (fourth quadrant) sinb=34 with    π2&lt;b&lt;π   (second…

Q: What is the value of sinh (In 2 +i)?

A:

Q: state what method applies and how one applies it, but do not evaluate the integral:

A: Given integral is We will evaluate the integral by substitution method.

Q: sin x (cos x + 4) dx 1+cos?x

A:

Q: S sin x In(1 + sin x) dx

A: Given : Integral of sinx ln(1+sinx) dx The genral formula for the integration of function is as…

Q: The x2-4 dx can only be evaluated using trigonometric substitution technique. A True False

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Q: find dp/ dq. sin q + cos q = cos q

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Q: Recall that cos 'x = arcas x. find %3D 1/2 X sin(cou-x) dx

A: Answer

Q: Verify.

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Q: Dut answers without proper justification may Evaluate (3x° +4 sin a +1) dx Jo

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Q: To approximate the value of sin44° , we will use y=sinx. What must be the yalue of dy ?

A: the aproximate value of sin44 = 0.6946 for approximation  let  y= sinx dy = cosx(dx)             x=…

Q: Tt/2 2 sin(2x) dx 4– cos(2x)

A: The solution is:

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: Integrate the followings sin cos dx cos - 4

A:

Q: Determine the period as requested. 5) Feriod of y 5 sin 4x A) 4 C)2 -1/2

A: In this question, we want to find the period of the given function.

Q: What is the value of the integral S sin(6x) arctan(sin 3x)dx? 2 c) 6 а) 3(т — 2) b) d) 6(т — 2) е) п…

A:

Q: If y cos (sin2x), then -6 cos (sin 2x) sin (sin 2x) cos(2x) dy dx True False O

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