A sine reduction formula Use integration by parts to obtain a reduction formula for positive integers n: sin" x dx = -sin-1 xcos x + (n – 1) / sin* -2 x cos? x dx. Then use an identity to obtain the reduction formula |sin" x dx = sin"-x cos x + -/sin"-2x dx. Use this reduction formula to evaluate S sinº x dx.

Q: θ = cos^-1[sin(LT1) sin(LT2) + cos(LT1) cos(LT2) cos(LN1 − LN2)] How does this formula go with…

A: Consider the figure as our Earth. O is the center of the earth Point P on the earth surface has…

Q: cos x | = -dx =? 2 cos x+ sin x+3

A: Integral.

Q: S sin (2x – 1)cos (2x-1)dx (2х - 1)dx

A:

Q: S 1 dx = (x² + 1)(1 – sec(tan-1 x)) Select one: а. 1 -x + (sin(cos-1x)) b. 1 -tan(cot-1x) +…

A: Hence option (d) is correct .

Q: cos-1 3x dx 1- 9x2 3

A: Answer

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A:

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A:

Q: 9. f(0) = (0 cos 0) sin 0

A:

Q: Evaluate (a) 2. Sinx+ X=X (1) Sinx dx T+x²

A:

Q: 3 cos° tdt 5. 1+sint

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: csch (2 sin2x) dx 1. V1-4x² r(²-1)cos[cosh (In r)]dr OS 4.

A:

Q: Find of: y = Tan? (sin-1(x*)) %3D

A: Find the derivative

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: cos 2 arctan X - 1 √x+1 /x+1/

A:

Q: Differentiatey = [3 sin x-2cos (2x)]²

A:

Q: 1+sin θ=(sec θ-tan θ)^2 +1

A: To evaluate theta.

Q: 4 dx 1– cos(4x)

A: Given that the integral ∫4 dx1 - cos 4x. Evaluate the given integral.           The formula used are…