sin(2n - 1)x sin nx If dx, then prove that sin x 2 sin x U -U, =: -1, =U and find 1, = 2

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A: ∫f(x).g(x) dx = g(x).∫f(x)dx  -  ∫g'(x)∫f(x) dx   where f(x) is second function and g(x) is a first…

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A: Given query is to find the value of the integral.

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A: Yghhhhhhg

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Q: Find integral.

A: We can use substitution technique of integration. In The substitution technique of integration , we…

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Q: sin Inx 12. S dx x cos² In x

A: Given integration is ∫sinlnxxcos2lnxdx We solve the integral using proper substitution.

Q: sine 2. Co s+1 J9-x2 5. 5 + x² Q4 メP 2.

A: Please refer the attached image for complete solution. Given: four integralsTo calculate:…

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A: i) Given that expression is sinx-3cosx.It is required to write the given expression in the form…

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A: As you mentioned solve question no.29

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Q: [cos x - sin x 0] cos x 1] 5. If f(x) = | sin x 0|, show that f (a)f(b) = f(a + b).

A: f(x)=cosx-sinx0sinxcosx0001

Q: (sin x – 3 cos x)dx

A: i will use basic integration rule.

Q: sin(5x) dx 2+сos(5x) اخترأحد الخيارات х + tan(5x) + с.ао —In | 2 + сos(5ӕ) | +с.Ь 1 +c.c 2+сos(5ӕ)…

A: Since , in the given integration problem we have derivative of denominator in numerator so we will…

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Q: (cos(3x) sin(x) – sin(3æ) cos(x)) da

A: In the given question we need to evaluate the integral- ∫cos3xsin(x)-sin(3x)cos(x)dx , which can be…

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Q: sin- x - y· dx + (tan-(yx-1))xdy = 0 cos-12

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A: Since you have posted a question with multiple sub-parts, as per the company guidelines we will…

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A: topic - trigonometric identities

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A: Introduction :

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A: The above problem is solved.

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.