Using trigonometric substitution, the integral / 2-x² dx x4 is equivalent to x/3 A 8 sin?0 cos?0 de x/2 B 8 sin*0 cos20 de x/4 8 sin40 cos?0 de x/2 (D 64 sin2e coste de

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A: We use substitution method

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A: Given, Part a: ∫x2sinxdx Using the By parts rule of the integration, ∫udv=uv-∫vdu Here u=x2 and…

Q: Please answer me

A: The objective of the question is to find the value of x that satisfies the equation sin(x^3) =…

Q: Use the method of substitution to evaluate 2x sin x? + c 2 sin x? + c sin x? + c 2 – sin x² + c

A: As we know that the common integration of : ∫cosudu=sinu ∫a·fxdx=a·∫fxdx

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Q: Use trigonometric substitution to do the integral 4x3 dr. VI² + 4

A: Topic = integration

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Q: + C,? What should be the value of A so that f A : sin (6x²) dx = - cos(5x-) %3D 4 A. x С. Зх В. 2х…

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Q: If sec² A is 5/2, the quantity 1 - sin² A is equivalent to

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Q: (ii) S. sin?x + tan²x dx 6

A: The given integral is: I=∫0π6 sin2x+tan2xdx

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Q: Ptz 1. sin x secx = tanx 2. cos² x-sin2x-1-2 sin²x Pt₂

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Q: CoS X By using the substitution u = sin x, find dx 1+ sin?x

A: Solve the infinite integral buly using substitution method

Q: Make the trigonometric substitution x=atanθ for −π/20. Simplify the resulting…

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Q: 1) Evaluate x sin(x)dx

A: Given :       ∫x2 sinx dx

Q: 2 xy ds X = 4 Cos o c9= 4 Sin o < O < T

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Q: 9.f tan3³ x √sec x dx

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Q: If x = 6 sin 0, use trigonometric substitution to write √36x² as a trigonometric function of 0,…

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Q: What is the equivalent of the given expression in terms of sin x? *

A: Here we have to write an equivalent expression of the given expression:-  A=1-sec2xsec2x