In(1 – 2a cos r + a²)dx for |a| > 1

Q: Evaluate [sin³ a x cos x dx. + C

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Q: | sin 5x sin xdx

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Q: Evaluate Se²x 2x Se²x 2x cos (5x) dx. cos (5x) dx = e2x. (5 sin (5x) + 2 cos (5x)) 19 + C

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Q: Evaluate (3x² - 7x) cos(2x) dx

A: To integrate the given integrand.

Q: x sin wx dx x2 + 6x + 10 Show that (2 sin 3w – 3 cos 3w) w > 0 %3D - 2e2w

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Q: Prove that x2 cos x dx = T(2 – n) (+ sin æ)?

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Q: a. +4 cos x +6 sec x – 5 ) dx 2 x5

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Q: Evaluate L{t°e! e3(1 – t) 3e-t sin (4t - 2) 2) + t2 $ (3t)} cos

A: Explanation of the answer is as follows

Q: (4) Evaluate cos (2x) -dx. (x² + 1)² 8.

A: If y=f(x), then the independent variable x is called the input of the function and the dependent…

Q: [(1+cos 3x) dx 3x)?dx + cos

A: Given: I=∫(1+cos(3x))32dx

Q: Show that COS x dx a² – x² sin a 2а where a is some positive number.

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Q: x is in the interval [0, 2t) * sin2x - cos2x = 0 COS

A: Given: sin2x-cos2x=0; x∈[0,2π) We know that cos2A-sin2A=cos2A…

Q: Find all xE[0,2pi] that satisfy sin 2x + cos x = 0 x =

A: Topic- Trigonometric Equations We are given, sin(2x)+cos(x)=0 and x∈[0,2π] We know that sin(2x)=2sin…

Q: Evaluate Jx/2 6 sin x (cos x + 1)³ dx

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Q: c) [x* sin (10+x*) ax 20. d) [xVx² +4 dx 2d.

A: As per the bartleby guideline if more than one question is asked only first will be answered kindly…

Q: Evaluate 4x cos(2-3x) dx

A: Given: The objective is to evaluate ∫4xcos2-3xdx.

Q: valuate f¹² Vsin x + 1 cos x dx.

A: Topic:- application of integration

Q: Evaluate COs 2 4 – x² dx

A: use the property of even function and odd function to evaluate the integral.

Q: Evaluate f(4 cos 0 – 0) de -

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Q: Evaluate: Jx?cos(2x)dx 2x?sin(2x) + 2xcos(2x) – sin(2x) + C A 4 2x2sin(2x) + 2xcos(2x)+ sin(2x) (B +…

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Q: Prove that d/dx [cos x] = −sin x.

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Q: Find a sin²(x) dr. 16 +1 R

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Q: | cos (70 + 5) de

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