h(x) .3 = x° tan x

Q: b) y = x tan-1Vx+ cot-11

A:

Q: Find integral.

A: ∫-11xcos x dx

Q: 10. sin-'x dx 12. p° In p dp 14. s2' ds

A:

Q: dp Find dx given p(x) = (sin?(3x))(3x²-4*)

A: As we know that; The chain rule: fgx'=f'gx·g'x The Product rule: f·g'=f'·g+f·g' The Power rule;…

Q: d а. dx (e* cos.x) cOs x

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: π/2 cos² x dx

A: This question can be solved using the concept of properties of definite integrals.

Q: T/2 (csc x- sin x) dx T/4

A:

Q: a. y=sin(x² + 3x + 1)

A:

Q: d. cos 3x = 0 %3D e. tan 4x - 1 = 0

A:

Q: S"(e*sin²x – e**cosx) dx B)

A: The formula of integration using by parts:       ∫fg' =fg - ∫f'g

Q: T/2 e2x sin x dx

A:

Q: dx a sin x+b cos x

A: Given problem:-

Q: Find e-t sin(v3t) 00 (a) (b) L-1 tan

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Q: 2m 14. sin x dx

A: Topic- trigonometry  note- As per our guidelines i have to do only one question other can be…

Q: 10. f sin x dx 25+cos²x

A:

Q: -2 e* sin(x) -dx 1+ x2

A: the solution is as follow we will solve the given problem by numerical method  Trapezoidal rule

Q: e. y =x' sin (x² +5)

A:

Q: dx 2. S; 3 cos x+4 sin x

A:

Q: y cos x- sint x %3D

A: Given: Y = cos4x -sin4x

Q: 2) S e3se c(x), sec(x). tan(x) dx

A: Given: The integral is ∫e3sec x·secx·tanx dx

Q: 6)x(t)=sin(t-3T)

A: Z- transform

Q: b) | sin “ xdx d) [ /tan x sec“ ,

A: Given problem:- b.   ∫ sin4(x) dx  d.   ∫√tanx sec4(x) dx

Q: Differentiate.   y  = Cos h -1(Sin h x)

A: Given inverse hyperbolic function - y = cosh-1sinhxUsing Chain rule, differentiating on both sides…

Q: [x]d(e*) xd (sin x)

A:

Q: (c) tan x = 10t' (e) tan 12t-x¹2 (d) 16 sint- cos 17x= cost, = sin 12x.

A: For the derivatives of the given functions dxdt are as follows (d) dxdt=-(sint+16cost)17sin(17x) (e)…

Q: 2. f (t) = sin ( € - 2π) H ( t - 21)

A:

Q: 4. y= e (A cos x + B sin x),

A: Formation of differential equations: As a rule, one reqruires  n+1 relations to eliminate n…

Q: dx, x² + 4 x = 2 tan(0)

A: Given: The integral is ∫ x3x2+4 dx , x = 2 tan (θ) .

Q: e 9. cos(x) dx - " sin(x) dx. Evoluate

A: Formula:∫ cos x dx = sin x + C∫ sin x dx = - cos x + C

Q: y = sin x cos6x x CO

A: Introduction :

Q: - 24) fx cos (x*) dx 26) dx

A:

Q: 50. g(x) 52. f(x) = xe* 54. y = sin²(e³x+!) %3D

A:

Q: x2 Q1 (x sin x+cos x) -dx

A: For integrating the given integral we will use the below-mentioned integration formulas…

Q: (c) [ e sin(x²) dx < e –1. Show that

A: Solution of question as follows

Q: x2 Q1 S (x sin x+cosx)2 dxp

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: h(x) = x – sin x for 0 <x < 4A -

A: Given the h(x)=x-sinx for 0≤x≤4π We need to determine: a)the intervals of monotonicity for the given…

Q: 3 dx = cos? 3x попе 3 tan 3x +c tan 3x +c tan 3.x +c 3

A: We will solve the following.

Q: e of y = -3 sin x + 5? (I Vミー

A:

Q: S tan-1(bx) dx

A:

Q: 3a. cos πx sin πχ dx

A: We need to integrate the given expression. ( As per our policy, we can solve 1 question at a time.…

Q: G= {x |sin x=0.5}

A: In the given question we have to find the value of x in {x ; sinx=0.5}

Q: y = e* cos x²

A:

Q: Q1-Find S sin 3x e4* dx

A: let I=∫sin3x e4xdx using by parts I=e4x∫sin3x-∫ddxe4x∫sin3xdxdx simplify I=e4x∫sin3x-∫12e4xcos3xdx…

Q: e2x (f) y = tan x

A: (F) The given function is y=e2xtan x. The quotient rule for the functions f(x) and g(x) is given by…

Q: 4. Derive y = e¬* sin x.

A:

Q: 4x Cos x dx b.

A: Given :

Q: (g) et +1 dx (n) dx sin x

A:

Q: sin x dx 1+ cos2 x 31. T/2

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…