Jam sin(10x) dx

Q: 3.3 Inx + tanxe d 4-4x -sinte dx

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Q: 3x sin(5x) dx

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Q: cosh / 2x 18) dx Vx² sinh³ /2x

A: The given integral: This can be rewritten as, To evaluate the integral: Apply linearity the above…

Q: S sin 3xsin 2x dx

A: Given integral, ∫sin3x sin2x dx

Q: 8 sint csc x dx

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Q: 4 sin“ dx

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Q: ( sinh3x cosh³x dx

A: Consider the integration as I=∫sinh3xcosh3xdx

Q: Solve d'y dx² cot x dy - sin² sin²x.y - dx = cos x - cos³ 3 OHS X.

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Q: 2x + 2 Evaluate : sin :Ssi". dx. 4x² + 8x + 13,

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Q: dx sech x (3 +5 sinh x)

A: Please see the explanation below.

Q: Integrate (sin1/2)(x)dx

A: The given integral is ,∫sin12x dx=∫sinx2  dx

Q: 3. dx (sinh(2xV1+x du

A:

Q: dy -y3tanx dx Solve sin2x

A: The given differential equation is: sin(2x) dydx-y=tan(x)

Q: 3- Sin4x dx S 3-Sin4x dx ノo

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Q: 4 sin-lx dx X.

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Q: (b) ( cosx) = -sinx dx

A: To Determine: find the derivative of cosx Given: we have a function cosx Explanation: we have a…

Q: Solve: cosx + sin x + 1 = 0, 0 sxs 27.

A: Given: cos2 x+sin x+1=0, 0≤x≤2π

Q: ( 2sinx sin(2x) dx

A: Given,        ∫2sin2xsin(2x)dx

Q: sin 3x dx 3-10cos3x 10.

A:

Q: (#6) S sin³ (x)dx =

A: Given  Rewrite  sin3x=  sin2x * sinx  Use Pythagorean identity sin2x + cos2x=1

Q: i. S(sin(4x) + cosh(3x))dx

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Q: S sin3xsin 2x dx 3.

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Q: x sin(2x2)dx

A: We have to find the integral.

Q: 5sin(4x + )sin(2x-)dx

A: The given integral is, The integral cannot be solved directly and we would have to use some…

Q: 3. S- dx 1-sin'x

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Q: solve sin2x dy/dx-y=tan x

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Q: | e3* sin(2x)dx

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Q: [sinh(x)(x² + 7*)] dx a.

A: As per our guidelines we are supposed to answer only one question i.e. the first question. For the…

Q: S sin-1 3x dx

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Q: Solve d sin x -sin x dx

A: Derivative of functions of the type f(x)f(x) can be solved by taking log on both sides, and then…

Q: 一2 sin2x dx

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Q: 3 sinx 19. dx V1-x²

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Q: sin x 31 dt dx

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

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

Q: tan 2x dx 2. S (3+ln cos 2x)6

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Q: (cosh ' []] 1s dz

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Q: e2x sin(5x) dx

A: Given,  ∫e2x sin(5x) dx

Q: [17 sin³ x costx dx 5.

A: Given: I=∫17sin3xcos4x dx. To evaluate: Value of integral I.

Q: ( csch (2 sin 2x) dx V1-4x

A: We have to find indefinite integral

Q: solve sin2x dy -y=tanx dx

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Q: sin4x S V cos4x + 1 dx

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Q: 4-S e²*sinx dx

A: We have to find the integration of the given function.

Q: Solve d²y cot x dx² dy - sin² dx sin²x.y = cos x - cos³

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Q: 2e3* sin 2x dx

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Q: Se²x+lnx² sin x² dx = +fe²x co 2x cos x² dx

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Q: 3 y = sin³ 2x

A: We have to use chain rule here.

Q: Solve to find general solution: dy = Exe xez -1 1-x²y dx

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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: 2 2- Find if y = dx sin2x sinx

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Q: SOLVE: (y cosx +2xe")+(sinx +-ng'= 0 COS X

A: