Evaluate the definite integral by expressing it in terms of u and evaluating the resulting integral using a formula from geometry. sin 0V36 – 144 cos? 0 d0; u = 12 cos e NOTE: Enter the exact answer. sin 0V36 – 144 cos? 0 do =

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Q: Evaluate the given definite integral S sin20 de (Type an exact answer.)

A: Evaluate the integral.

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A: Given: Let I=∫5 sin-1 x dx To Find:  To evaluate the given integral.

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Q: Evaluate the definite integral by expressing it in terms of u and evaluating the resulting integral…

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Q: Evaluate the definite integral by expressing it in terms of u and evaluating the resulting integral…

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Q: In the given equation , find the indefinite integral :-   See the equation as attached here .

A: The given indefinite integral is : ∫ cos5θ cos(3θ) dθ Now cos(A) cos (B)=cos(A-B)+cos(A+B)2 So,…

Q: Evaluate the following integral using trigonometric substitution. 11 V3 dx VX + 121 What…

A: Substitute x = 11 tan θ Note: 1+ tan2 θ = sec2 θ

Q: Find the indefinite integral. sin 60 Vcos 60 de tep 1 To solve the integral / sin° 60 Vcos 68 de,…

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

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Q: The integral of (10*/ cos 10*)dx may be written as A ln | sec B* + tan B* | + C. Where A, B, and C…

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Q: The resulting integral of F(@) + + C. What should be the value of e to make F(e= sin -cos-sine de…

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Q: sin 4x Given: cos?(4x) (2 – 3 sec 4x) d× what is the appropriate formula to find the integral? ®…

A: Given that ∫sin4xcos24x2-3sec4xdxSolution :∫sin4xcos24x2-3sec4xdxlet,…

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Q: Consider the integral cos“ x · sin'x dx , where k is a positive cos“ x• integer. Using the methods…

A: ∫coskx . sin3x dx∫coskx . sin2x .  sinx dx∫coskx . (1-cos2x) .  sinx dx               ( sin2x =…

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

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Q: Evaluate the following integral using trigonometric substitution. dx (36 + x²) 2 What substitution…

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Q: What is the integral of cos xdx from pi/3 to pi/2? A 0.134 В 0.500 C) 0.293 D) 0.707

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Q: Find the indefinite integral. /. 3. sin 60 cos 60 de

A: To evaluate: I=∫sin36θcos 6θdθ =∫sin26θcos 6θ sin (6θ)dθ =∫(1-cos26θ)cos 6θ sin (6θ)dθ

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A: Solution:Given∫db2-sin2(b)-cos2bFormula;sin2θ+cos2θ=1∫dx=x+C

Q: Evaluate the given indefinite integral. 7 c 7 cos √6x dx= [ (Type an exact answer. Type an…

A: Solution: ∫7cos 6xdx Apply integration by parts