( 4x³- 6x +5 2+3 cos x dx. 9. Find sin?

Q: 3 (b) / 2³ x³ cos(x¹ + 2) dx

A:

Q: 4x +1 = cos y?

A: According to guidelines we should have been able to solve only one question at a time

Q: 5. Find : 60 y= (b) y = cos (11x³ + 5x). dx

A: SOLUTION-

Q: 2. cos?x dx =x+ sin 2x + C X_SO

A:

Q: 3. cos? (z) sin“ (2) dz

A: Given, The integral is,

Q: • Tt X 2. sin? cos cOS dx 2 2

A: To solve this I have used the Beta Gamma Integrals. Some of the Results which I have used is given…

Q: 2e cos 2t

A: Given,       2elncos2t

Q: -/- I = х cos bx dx, for b > 0

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: The x2- 4 dx can only be evaluated using trigonometric substitution technique . A True B) False

A: To find if the given integral can be solved only by algebraic substitution technique.

Q: The x² – 4 dx can only be evaluated using trigonometric substitution technique . A) True B False

A:

Q: dx =+ v3- 2. Determine the value of k such that sin 6

A:

Q: Q1: Find the X- Value of the Trigonometric Equation. 5 sin nx - 7sin nx. cosnx + 10cos nx= 4

A: Given, 5 sin2nx - 7 sinnx . cosnx + 10 cos2nx = 4 To find the value of x, The given equation can be…

Q: п/4 sin7x + 1 dx cos?x - π/4 Select one: а. 2 b. 4 С. 1 d. 0

A:

Q: |3 cos 2.r dx 3.

A:

Q: -3RT/2 b. Smt cos³x sinx dx

A:

Q: d In(x2 - 4x + 13) + sin(ax) dx ex b.

A:

Q: d. y= cos-x

A:

Q: 2) Find of the following equation then simplify whenever possible. and dx dx2 x = 1+ Sin t y = Cos?…

A: The given parametric equation,   x=1+sin t, y=cos2t

Q: The S- 3 dx is 5 sin 6x

A:

Q: V3 11. cos(3x) = %3D

A: cosθ   is negative in 2nd and 3rd quadrant

Q: Q: Evaluate: 2х -1 cos dx (1+x²

A: Solved below

Q: 3.x cos 5x dx 5. ( re'/2 dr

A: 3.Integration by parts;∫ uv dx=u∫v dx -∫dudx∫vdx dxI=∫ x cos5x dxu=x, v=cos5xI=x∫cos(5x) dx -∫ (1…

Q: 2 cos 0 d 1 - sin A

A: We can find the integration as below.

Q: Using the substitution u = cos(2x), S sin (2x) cos (2x) dx %3D

A: The given integral is ∫sin52xcos32xdx.

Q: /4 sec? Vwdw a) b) sin 2.xcos xdx c) f tanh xdx

A:

Q: Which of the following is equivalent to -dx 1+ cosx – sinx after appropriate half-angle substitution…

A:

Q: r=2 Sin cQ-Ę) Cos co-Ę)

A: The given equation is r=2sinθ-π4cosθ-π4 Apply the formula sin2θ=2sinθcosθ to get:…

Q: 8 +10x-32+x? cos 2x 4 Find de *: (a) y =

A:

Q: +3x2 b. Find (y)? = sin³(cos³(* *3*)) %3D dx 2

A:

Q: 3. x = cos³ 0, y = sin 0 4

A:

Q: 1) [(sin? x- cos² x) dx 2) J dx 2

A:

Q: 3 sin³x sec?x dx = Select one: а. b. 1 С. d. 1 1/3 1/4

A: Topic:- definite integration

Q: Solve the differenttal equat on 1y +dy_64=12x-50 Sin 2x dx? doe

A:

Q: 1 Which of the following is equivalent to -dx 1+ cosx+ sinx after appropriate half-angle…

A: Let's find.

Q: (3) fx² sin x dx (4) S (cos-14x)2 √1-16x² -dx

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

Q: Given: x = 4 cos 26 and y= 2 sin 26 What is the value of in terms of 6. dz O dy csc 29 dx2 -csc 20 O…

A: The solution is given below:

Q: b. sin? () = 2 over [0, 2n) %3D

A: EXPLANATION

Q: Svæsin(x3/2)dx= A © cos(x/2) + C 을cosx/?) + C D

A:

Q: Hf sin x = A + B cos 2x +C cos 4x, then A = %3D C =

A:

Q: (a) y" + 3y' – 2y = -e2" (5 cos 2r + 9 sin 2a)

A:

Q: 2 cos e de 2 V1 – sin 0

A:

Q: 4. (cos 2y – 3x²d²)dx + (cos 2y – 2x sin 2y – 2x³y)dy = 0

A: Given: cos 2y-3x2y2dx+cos 2y-2x sin 2y-2x3ydy=0  ……1

Q: Q: Evaluate : fe 1- cos 2ax dx. 1+ sin 2 ax 2ax

A:

Q: Integrate the following: 2х-1 a) 3x-2 d) /sin? (3x) cos' (3x)dx | cos* (5x)dx 4. g)

A: (a) Consider the given integral as ∫2x-13x-23dx. Evaluate the above integral as follows:…

Q: L, 4x(1– x²)dx S 2 i) ii) -) dx ? (х + Sin?x

A: