4(cos- (-3x)) = dx

Q: 1 cos(sec-x) dx 2/V3 xVx²-1

A: Let's find.

Q: 2cosx dx 2 5- fn 1+(sinx)? π

A:

Q: 4 f sin(5 – 6x) sin (6x – 4)dx -

A: Here limit are not given so we integrate only without using of limit.

Q: S sin 2x sin 4x dx 7.

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Q: 5. . sin 3x dx

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Q: 1. sinx cosxdx 2. (x+1)dx 2+2x+4 3.

A:

Q: (2x-ィ) cos 3x dx

A: The given function is, ∫(2x2-1) cos3x dx. Obtain the value of the integral ∫(2x2-1) cos3x dx.…

Q: Find the anti-derivative of: S(3x* – 6x)° (2x³ – 1)dx

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Q: Cos 2x dx ) Sin*2× + 8 1.

A: Given ∫cos2xsin22x+8dx

Q: S cos³ 3x dx со

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Q: Find /e2x sin(2x)dx

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Q: 2x+5 dx = AV7- 6x - x2 + B sin - (**)- 1. Vア-6xーx2 +C

A: ∫2x+57-6x-x2

Q: - ((x3 + x)sech(In x)) = dx EX)-

A: To find  ddx(x3+x)(sech(ln x) We use product rule  d(uv)=udv+vdu Let  u=x3+x,     v=sech(ln…

Q: 4 fcos 3x sin³ 3x dx

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Q: Integrate: x² cos(2x) dx

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Q: 14. The first derivative of y = arcsin4x is а. -4 b. -4 C. d. V1- 16x? VI- 4x2 V1– 16x? /1– 4x* -

A:

Q: find dy/dx 4x -x 2x 23) y= Sin- +x².Sec 2-x + 2x.Sec) 2 (ans.: (2-2»N(2-x² - x* 4 4

A: To find the dy/dx means y' of the given function

Q: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

A: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

Q: Integrate: / cos“ x dx

A: The given integral is: I=∫cos4x dx Reduction formula: ∫cosnx dx=1ncosn-1(x) sin(x)+n-1n∫cosn-2(x) dx

Q: Find the function that passes through the point (1,2) and whose derivative is dy/dx = (2/x^3) - 4

A: Topic:- application of integration

Q: 8e cos 2x dx csc(x) sec(x)

A:

Q: Solve (cosx)dy = (sinx)dx

A: The objective is to solve the expression cosxdy=sinxdx

Q: 1. Ssin (2x-1)cos (2x-1)dx

A: 1) Evaluate: ∫sin42x-1cos32x-1dx

Q: 23. cos (3z + 4) dz 25. sec2 (3x + 2) dx

A: A

Q: S sin³ (2x)cos² (2x)dx

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Q: solve sin2x dy -y=tanx dx

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Q: ∫cos(15x)cos(4x)dx

A: Integration and differentiation can be considered as inverses of each other. Integration is mainly…

Q: 4. sin 2x cos 2x dx

A: Here we integrate the given function.

Q: integrate [(x csc^2 (2x) - x cos (2x)] dx

A: Given problem:-  ∫ [(x csc2(2x) - xcos(2x)] dx

Q: Find the given derivative. DX 5x -- Dx 5x 1/3 1/3

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Q: Find the second derivative y=lnx + 3 sin(4x) d²y dx² of

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Q: cos(2x) dx sinx+cosx dx Vex

A: Find your answer below

Q: 5. S sin5x cos 3x dx

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Q: S cos³ 3x dx

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Q: dy/dx of y=5^cos(3x+5)

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Q: x' sin 2x dx -3x 5. X cos 2x dx

A: We solve these integral by u.v formula of integration

Q: 5. S sinxtanx-cosxtanx dx sinxsecx(sinx+cosx)-5

A: Dear student, as per our rule we can only solve one question in one session. Please post the other…

Q: solve for dy/dx

A: Given that: d. y=coth2x-13e. arctan(y-2x)=x-2y

Q: 2-S S dx dy

A: to find the double integral we consider a strip parallel to x axis

Q: b- S sin5x.cos²x.dx

A:

Q: Find dy/dx at (-4,1) if xy=(8y/(x+2)). dy/dx at (-4,1) =?

A: Derivative of any function determines the rate of change of a function. It is represented as dydx if…

Q: 4. EVALVATE | sin4x vos5x dx

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Q: evaluate the integral.

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Q: (2x + 1) 2 dy dx |- 2x

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Q: 2cosx dx 2 1+(sinx)²

A: Please refer the attached image for complete solution.

Q: S cos(2x + 1) sin(3 – 4x)dx

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Q: 5. Implicitly differentiate the equation (xy)-y=x to find dx

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Q: 5x cos dx 2 x3 cos 9x dx X' COS

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Q: -5x sin(2x) dx

A: Consider the given integral

Q: SVx² + 10x + 25 dx. (cos4*x – sin4*x)dx dx

A: