Prove that Lox 1 2πσ -e (2-11)2 20² dx = 0² +μ².

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A: We will use the formula ddtmn=nm'-mn'n2

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A: ∫2sinθ3(cosθ)2dθ

Q: Show that

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Q: The Bernoulli's Equation dy/dx - y[1/(2x)] - y^5 = O can be transformed in which of the following…

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Q: Show that Loo (1 COS X (1+x²)² dx кіо π e

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Q: Prove that S tan ar tan¹ Br x2 da = 1 log 2 (a + 3)α+³7 Qa38 , a>0, B

A: Note: In the given identity, it should be instead of .We need to prove that , where .Let .

Q: Show that S, (In x)? dx = e – 2

A: The detailed solution is as follows below:

Q: sin x 4y" + 9y' – 7 = 4cos x

A: Solve by using rules of differential equations

Q: TRANSCRIBE THE FOLLOWING TEXT IN DI

A: Introduction: The rate of change of a function f(x) with respect to x at a location within its…

Q: g(x) = 2x−7+4 2x-π+4 o TT/2 sin² x g(t) dt

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Q: x4 x² x² + 1 - 1 dx ii) Š 1+ Inx

A: Please refer to the image below

Q: Solve the equation xcosy dy+(x+2)siny dx=0.

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Q: Cπ/2 sin² 3x dx

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Q: Question 2 Find the solution to the DE. (y-x+xycotx) dx + xdy=0 xysinx=C+ sinx - xcosx Oy=(c +…

A: Concept: For a differential equation of the form P(x,y)dx+Q(x,y)dy=0 The differential equation is…

Q: 1 V1 – x² dæ

A: To evaluate: ∫011-x2dx Solution: We know, ∫a2-x2dx=xa2-x22+a22sin-1(xa) +C     ..(1) We will use…

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Q: dy at x=0. dx If y = (3x² + 4x + 5)(e* – cos 2x), then find %3D -

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Q: d (cos – sin) dx 4

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