Use reduction formulas to evaluate the integrals ∫ sin2 2θ cos3 2θ dθ

Q: Find the indefinite integral.

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Q: Find the indefinite integral ∫sin2xcos 2x dx

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Q: The suitable substitution to evaluate the integral tan (2x) dx is 4 C cos“(2x)

A: Explanation: Given that, ∫tan52xcos42xdx

Q: Evaluate the integrals ∫sin 5u cos 6u du

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Q: Evaluate the integrals ∫tan5 x dx

A: I=∫ tan 5x dx =∫Sin 5xcos 5x dxLet cos 5x=t-5 sin 5x dx=dtsin 5x dx=-dt5

Q: Evaluate the integral. 14 sin?(x) cos³(x) dx

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Q: Evaluate the integral f sin²(3x) cos (3x) dx.

A: The given integral is ∫sin23xcos53xdx. We have to evaluate the given integral.

Q: Evaluate the definite integral: cosx (1 – 2 sinx)² dx

A: To solve definite integral we take sinx=z then we substitute all the values of x by z ,then we…

Q: Evaluate the integral ∫sin5 x/3 cos x/3 dx

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Q: Evaluate the integral. ∫0 π/2  Sin2 x Cos 2 x dx

A: Consider the given integral as Use the identity to solve the integral such that

Q: Evaluate the integral [ ª sin(tan x) dx cos² x

A: Given- ∫sintanxcos2xdx To find- The value of the above integral. Concept Used- The above integral…

Q: Evaluate the integral ∫sin x/4 cosx/3dx.

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Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. 9+x…

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Q: Evaluate the integral. | sin (6x) dx

A: Simplify by substituting it in something suitable to the integral.

Q: Evaluate the definite integral using the first four Newton-Cotes quadrature formulas. 2. а. x cos…

A: As written as a text in the question post, we need to solve three parts; (i) Evaluate integral using…

Q: sin xv1 – cos xdx

A: Explanation of the answer is as follows

Q: Evaluate the integrals ∫sin 2x cos 3x dx

A: We have to evaluate ∫sin2xcos3xdx. We know that 22sinA cosB=sinA+B+sinA-B Therefore,…

Q: Find the indefinite integral. ∫sin7 2x cos 2x dx

A: Consider the given integral ∫sin72xcos2xdx

Q: 2. Use reduction formula to evaluate the integral: sin xdx.

A: We have to evaluate integral by using reduction formula.

Q: Find the indefinite integral ∫ sin 8x cos 7x dx

A: ∫sin8x cos7x dx

Q: Evaluate the integrals ∫8 sin4 x dx

A: We have to evaluate ∫8 sin4x dx Let substitute t=4x Differentiating both sides with respect to x,…

Q: Evaluate the integral 1—е-4а sin x cos 3xdx

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Q: Use the Table of Integrals to evaluate the integral.  ∫ sin6  2x dx

A: Consider the provided integration, ∫sin62xdx Find the value of the provided integral. Apply the…

Q: 3 4. sin x cos xdx

A: These formulae are used while solving the question:

Q: cos13(x) sin (x) dx

A:

Q: Evaluate the integral. sin 8x cos 9x dx

A: Given that ∫sin8xcos9xdxSolution :…

Q: sin(34x) dx 1 + cos-(34x)

A:

Q: Evaluate the indefinite integral. sin°(13x) cos“(13x)dx

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Q: Evaluate the integral sin x dx (2 + 3 cos x)2

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Q: Evaluate the integrals ∫16 sin2 x cos2 x dx

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Q: Find the indefinite integral: | sin(6x) cos(3x) dx

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Q: Find the trigonometric integral ∫cos3( x − 1) dx

A: Find the trigonometric integral ∫cos3( x − 1) dx

Q: Evaluate the integral. sin (20x) cos (11x)dx

A: Evaluate:

Q: Use trigonometric substitution to find or evaluate the integral                            ∫ x3 /…

A: Consider the given integration as∫x34+x2dx

Q: Evaluate the definite integral 15 sin (3x) cos(3x) dx

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Q: Evaluate the integral. sin °(6x) dx

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Q: Evaluate the integral sqrt(sin(x))cos^3(x)

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Q: Evaluate the integral. 6 sin (2x) In ( sin (2x))dx 6 sin (2x) In (sin (2x))dx = (Type an exact…

A: Please see the explanation below.

Q: Evaluate integral 0 to pie sin 2 x cos 4 x dx

A: To Evaluate the integral given below:-I=∫0πsin2(x)cos4(x)dx

Q: Use the convolution theorem to evaluate the integral. sin(2 · 7) cos((t – T))dr COS

A:

Q: Find the trigonometric integral ∫sin2 x cos3 x dx

A: We have to find the trigonometric integral: ∫sin2 x cos3 x dx Rewriting the integral, ∫sin2 x cos3 x…

Q: Evaluate the integrals ∫cos3 2x sin5 2x dx

A: Evaluate: ∫cos32xsin52xdx

Q: evaluate the integral.

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Q: Evaluate the integrals ∫sin3 x cos3 x dx

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Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. dx…

A: Given query is to find the integral.

Q: sin 2x dx

A: Given the integral

Q: cos ) ydydx sin

A:

Q: Use a computer algebra system  to find  integral sin 5 x cos 2 x   dx

A: To find the integral