caluate integra X- Sin

Q: sinA (1+cosA) prove that %32cosecA (1+cosA) sinA

A: we have to prove  the given statement

Q: 29. The tangent to the function y = 2 sinxcosx at x = and the x- and y-axes form a triangle.…

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Q: -X -dx

A: We know, ∫uv dx = u∫v dx - ∫ddx(u)·∫v dx dx           (integration by parts) ∫1a2-x2 dx = sin-1xa +…

Q: Integration by parts is based on what differentiation rule? Explain.

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Q: sine a, +e-rag – 2cos@sinpas v x F(1,"/2, "/3 =?

A:

Q: sin(4-y)sin(3-y)dy

A: Use the formula sin(A) sin(B)=12(cos(A-B)-cos(A+B))Consider…

Q: (sin 0)y" - (cos 0)y' 2 %3D

A: In the given question 5, The order of the differential equation is = 3 And the equation is linear.

Q: Integration by parts is based on what differentiation rule? Explain.

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Q: Integration by Trigonometric Subsituion 10.) x² Arcsin C) dx

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Q: cotx(secx-cos x)

A: We have to find  cotx (secx - cosx) We know that ,  cotx = cosx/sinx secx = 1/cosx  Then ,

Q: 5. y = cot cot (sinx) 6. y = 5 sec sec (2x) + 20

A: We can solve question no 5 and 6 using chain rule as below.

Q: y" cot x + (cotx) In (sinx). Show that Cscx %3D 2y - 3 cotx. %3D

A: given function :y= cotx+(cotx)lnsinx

Q: Calulate thi ntegrul 17 3-49

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Q: integral arc tan(4t)dt

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Q: sin(x+y) - coty siny sin X

A: To evaluate the given expression.

Q: (Integral sign) x^2/ (square root of 9-x^2) dx

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Q: limit Sin @2@) 0so ton Cs0)

A: solution

Q: sinx.coshy+icosx.sinhy is analytic or not

A:

Q: proof

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Q: (sinex- 2ycos x) dx = 2dy

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Q: x' sin (tanx*) -1 Integrate 1+x

A: Introduction :

Q: Topic: Integral of Hyperbolic Function ∫(sinh(x) + cosh (x))^2

A: Given- ∫sinhx+coshx2dx To find- The value of the integral. Identity Used- The above integral can be…

Q: 2-f sinx(1-sinx)³ (1 + sinx)³ dx

A: An integration is provided. We have to solve it. To solve the integral, we will use substitution…

Q: (Sine)+ Gs) de J Vl+ Sin (2x) doc

A: Integration

Q: tanx X 1+x?

A: =?

Q: Find the relative extrema of the function f(x) = sin x sinh x − cos x cosh x, −4 ≤ x ≤ 4 . Use a…

A: The given function f(x) is in the interval

Q: Arc length Find the length of the curve y = ln (sec x), for 0 ≤ x ≤ π/4.

A: Given:y=lnsecx    for 0≤x≤π4Length of the curve:L=∫ab 1+dydx2  dx

Q: Integration of sin^2 x?

A: Cos(2x) = 1 - 2Sin2(x)  Sin2(x)=1 - Cos(2x)2   Integration of cos(x) is Sin(x)

Q: sinhz analytic or not ?

A: The given function is fz=sinhz. A function fz=ux,y+ivx,y is said to be analytic if the first partial…

Q: ldx on the graph y sec x? + y? = cos2x at point (1, 2).

A:

Q: fsin(sin(x))dx

A:

Q: [sinh4dx 11. cosh2x

A:

Q: integral sec^5 x tan x dx

A: we have given that ∫sec5x.tanx.dx

Q: esinh dx sech x

A:

Q: y = Arctan (sinh x)

A: dydx=ddx(arctan(sinh x))

Q: 5. x' sin xdx

A:

Q: sec x tanx (1+sec'x)² + sec

A: substitute u= sec3(x)+1 du/dx=3sec3(x)tan(x) dx = du/(3sec3(x)tan(x)) put this in equation  1/3∫…

Q: tanx - tany = sin(x+y)/cosxcosy

A: The given identity to be proved is,

Q: sinty

A: This is a basic integration problem

Q: y'''-y'=sin3x (using variation of parameters)

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Q: y = Vsin (x)+ /sin(x)+. sin (x)+ sin (x)+ Vsin (x)+

A:

Q: | cos³5xsin17xdx

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Q: sin x dx. 1. Describe the technique used to evaluate

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Q: siny lin xー x2|-?

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Q: cosx Show that J-3(x) = -. + sinx)

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Q: ∫ sin4x dx

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Q: sin 7x cot 4x lim x cot 3x

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Q: dyda Siny

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Q: acrsin x:! csc-1 x: arccos x: sec-1 arctan x: cot-lx: : [0, T] :: [0, 플] : (- 1 : (0, 27] :: [-플, 이…

A:

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.