4. cos" x sin x dx

Q: Compute the indefinite integral, and demonstrate that your solution works by differentiating:…

A: Since you have asked multiple question As per our policy , we will solve the first question for you.…

Q: Evaluate the integral, if it exists.    ∫ Sin x  cos (Cos x) dx

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Q: Write the integral as a sum of integrals without absolute values and evaluate.

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Q: Evaluate sin x cos? x dx in two ways. First use u = sin x to show that sin x cos? x dx = [ uvT - u²…

A: Given indefinite integral is

Q: 3 Which of the following is equal to sec ² x tan³x dx to obtain the correct indef inite integral?

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Q: When the integral is evaluated by trigonometric substitution, e*V4 – e2x

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Q: Use the Table of Integrals to evaluate the integral.  ∫ x Sin( x2) Cos (3 x2 )dx

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Q: Evaluate the integral. 17 sin?(x) cos (x) dx

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Q: Tt/3, S (sin x – sec²x) dx

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Q: Which of the following is equal to sec 2 x tan³x dx to obtain the correct indef inite integral?

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Q: 52. Use the substitution u = tan x to evaluate the integral dx 1+ sin? x

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Q: 6z* cos (r*) dr-

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Q: Evaluate the integral by using a substitution prior to integration by parts. 7 sin ( In (5x)) dx sin…

A: Perform integration

Q: Evaluate the integrals ∫cos θ . sin (sin θ) dθ

A: Given: ∫cosθ.sinsinθdθ for evaluating this integral, we substitute  sinθ=t now differentiate both…

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫sin 2x cos 3x dx

A: given: the integral is:∫sin2xcos3x dx let the given integral ∫sin2xcos3x dx be I. as we know that,…

Q: 4 sin320 cos20 d0

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Q: What is the integral of sin? r cos x dx?

A: Given,           ∫sin2xcos2xdx

Q: Evaluate the following integral using trigonometric substitution. dx (36 + x?)?

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Q: cot 4x dx V4 sin2 4x – 5

A: We have to evaluate the integral: ∫cot 4x4 sin2 4x-5dx Rewriting the integral, ∫cot 4x4 sin2…

Q: 2 sin? t sec“ t dt

A: To determine:

Q: sin2(0) cos(0) d0, sin(0)

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Q: Evaluate the integral si 3. sin° x adx. cos? 2

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Q: cos° æ sin x dæ

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Q: Evaluate the integrals.

A: Given- ∫xsinx2cos8x2 dx To find- The value of the above integral. Concept Used- The above integral…

Q: evaluate using Integration by Parts, substitution, or both if necessary.

A: Given integral is By using the following substitution, we get

Q: Which of the following integrals are improper? Why?  integral 0 to pie  tan x dx

A: At x=π/2,  tan(x) is undefined On the left side of x=π/2 , tan(x) approaches ∞ And on the right side…

Q: 5 sin (x) cos(x) In(sin(x)) dx

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Q: Evaluate the integrals ∫sin x cos x dx

A: Given: The integration∫sinxcosxdx, To Evaluate: The given indefinite integration.

Q: The definite integral | '[tan2(x) + sec2(x)]dx when evaluated is equal to A/3 +Br, where A, B are…

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Q: If necessary, use two or more substitutionsto find the following integrals.∫tan10 4x sec2 4x dx…

A: ∫tan104x sec24x dx Now put, u=4x⇒dudx=41⇒du=4 dx⇒dx=du4 Therefore, ∫tan104x sec24x dx=∫tan10u sec2u…

Q: Determine the following integral by making an appropriatesubstitution.

A: Given∫cos3x2-sin3xdx

Q: Evaluate the integral and check your answer by differentiating. sec(x) + cos(x) dx 9 cos(x) + C

A: Formula : ∫sec2x=tanx+c

Q: Evaluate the integral 1 dx 1+ sin x by multiplying the numerator and denominator by propriate…

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Q: sin 20 23. do Vcos*0 + 4

A: Explanation of the solution is given below...

Q: Evaluate the following integral using trigonometric substitution. 14 2-49 dx 143

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Q: Evaluate the integral and choose the correct answer. Sin In x dx

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Q: Evaluate the indefinite integral sin r cos r dr, by using an appropriate trigonometric substitution.

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Q: use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

A: use an appropriate substitution and then a trigonometricsubstitution to evaluate the integrals.

Q: Write out and find the following integral. S tan x sec3 x dx

A: We have an integral find the value of it.

Q: 03 cos(02) dO /2

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Q: *) dx x° tan(x .3 프4

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Q: Va dx (1+x)? 2

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Q: Evaluate the integral. 9e" sin x dx +C

A: We have to evaluate the integral ∫9ex sin x dx.

Q: sec x+ cos x COS.X dx 2 cosx

A: Given query is to evaluate the integral.

Q: Evaluate the integral. (9ex + 6 sin x)dx

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Q: why does the integral of cot(x) dx = ln((abs(sin(x)))? and is there a way to memorize it?

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Q: Evaluate the integral.  integral sin 9  x  dx

A: Given ∫sin9xdx

Q: Evaluate the integral by making the given substitution.   ∫ Cos3θ Sinθ dθ   ,  u= Cosθ

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Q: Evaluate the integrals ∫2 sinh (sin θ) cos θ dθ

A: Our Aim is to evaluate the integral given below:-I=∫2 sinh (sin θ) (cos θ) dθ -(i)

Q: (x+1)dx x²(x+1)?

A: Integrate above equation by partial fraction method.