Q: s sin(3x) + cos(5x) – sin sin)ax |dx
A:
Q: S .2 4. sin x cosx dx
A:
Q: 17. 18. 19. dx/ (9x² + 4) sin³ x cos x dx (secs x) dx / csc x
A:
Q: 1. Given y= [In(3x² +8)] dy find tan(6x) dx
A:
Q: 10. Suggest ways to avoid loss of significance in these calculations. (1) Vx² +1-x; (3) sin x- tan…
A: 1 x2+1-x By rationalization =x2+1-xx2+1+xx2+1+x=x2+1-x2x2+1+x=1x2+1+x Therefore, as x→+∞ there…
Q: on of period 2 pi in t. (x+sin r)(x
A: The differential equation is given as, dxdt=x+sin2tx-esint Let x=ft be the solution of the…
Q: 1.Solve tan y dx cot x dy = 0, cos y + 0, sin x
A: Here the given differential equations are 1st order linear differential equation. As stated we will…
Q: 6. Suppose you wish to differentiate g(x) = sin²(x)+cos²(x). What is the fastest way to do this, and…
A: Given,
Q: coS x dx 6) 1 + 3 sin x A) In| 1+3 sin x|+C C - 를 In| 1 +3 sin x| +C
A: To evaluate ∫cosx1+3sinxdx
Q: 9. If y = costhen the second derivative is 5x 25 Cos, 16 5x 5x sin- 4 d. 25 5x sin- 4 a. 25 b. C -25…
A:
Q: 1 is 1 H.W Find y' for y = ecosx * tan-1(5x) * (5x² + 1) ?
A: for y , y'=?
Q: dr 1- y = Inlog 2- y = (cos x)*Snx 3- у e (sinx
A:
Q: ¥2/3 6. cos'x sin x dx 5.
A:
Q: Suppose A is the annihilator of y= e*sin(x) – 3cosh(x), if f(x) = A(sin(x)), determine the value of…
A:
Q: x4 1 If u = tan(- + y° x² – y² - then show that ди du + Y- ду X - = sin2u dx
A:
Q: 1 =dx = V81-(3x+5)? 2 3x+5 -tan- (***) + c 9 o 음sin-1 (3g5) +c 9 o tan-! (**5) +c o sin-l (초5) +c…
A:
Q: (a) / sin sin(8x) + cos(7.x) dx (b) / (3x – 5 sin dx 2 (c) / cos(3t) + sin(5t) dt
A:
Q: 1. Solve the DE tan x sin y v + ( 3tan X -2 cos y) sec'x=0
A:
Q: 4. ſ cos xesinx dx
A:
Q: 1(y) = In(sin(cos(y²))) %3D
A:
Q: 7(e)₁² X y= » - [1-171² 2 sec- y = (tan 17 1² ² X y = [cscx]arcsin (cos.x)
A:
Q: 1 E valuate [ (x' + cos(3x)) dx sin (3x) a) b)
A:
Q: S cos ( x^3 ) dx = * sin ( x^3) + c 3x^2 sin (x^3 ) + c - sin (x^3 ) + c - 3x^2 sin ( x^3) + c none…
A:
Q: 22. y' = 1 + 3y tan x. ANS. 3y cos³ x = c + 3 sin x – sin³ x.
A:
Q: 4x /² sin () cos (+) sin (²) dx (Consider initially the first 2 terms) 3
A:
Q: 5. The function f(0) = (sin O+cos 0) + (sin 0– cos 0) may be written as
A:
Q: 8) Determine the smallest positive roet of the equation - 0.0i t sin (0.573t) -e
A: To determine the smallest root of the given of the function we will use Newton-Rapson method with…
Q: IFS(x) = - sin(x), then S ® (1) is equal to - sin(x) B) - cos(x) sin(x) O cos(x)
A: We have to solve
Q: 2 tan 4x dx The is equal to 1- tan 24x A. In(sec 8x) + C B. In(sec 8x)8 + C 1 C. In(sec 8x) + C D.…
A: Since you have posted a multiple question according to guildlines I will solve first question for…
Q: 1. S(tan -1) dp 2. sin2 B cos ß dB 3. S: xdx -7-8x-x
A:
Q: 9. cos (2t) dt 10. " sin?t cost dt /2 11. sin'x cos?x dx 12. (2 sin0)² d®
A:
Q: Problem 6 Evaluate the indefinite integral. ∫sec^6(x)tan^12(x)dx=_________________ +C
A: Let us assume that
Q: x³ + y³ + 3 x² siny tan z = 5 az dz and əx Find ду
A: Given, x3+y3+3x2sinytanz=5
Q: Problem 5 Evaluate the definite integral. ∫sin^2(6x)cos^2(6x)dx=__________________ (upper limit=7,…
A: Evaluate the integral
Q: Suppose x and y are functions of a third variable t. If sin-(x) + cos°(y) = = and dr dy what is the…
A:
Q: ∫sin^6 y cos^4 y dy, limits from 0 to pi/2
A: Consider the definite integral ∫0π/2sin6y cos4y dy to solve this integral, use the below reduction…
Q: 3. S sin? (2t) cos³ (2t) dt 4. ſ tan³(3x)dx
A:
Q: 1- Calculate the value of y if: a- y= sin (0.25) + sinh (2). b- y= sinh (15)+cosh (31)
A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…
Q: 1 a) 1+ sin(x) xp- Vtan (x)dx
A: a) Given integral is ∫11+sinxdx
Q: 11. sin(x) + cos(y) = ey
A:
Q: 18. S sin xdx 2-cos² X
A: The given integral is: I=∫sinx2-cos2xdx ...1 As we know the common integral; ∫11-x2dx=sin-1x+C
Q: 9. ſ csc 3x dx 10. S sin x e cosxdx CoSx
A:
Q: S 4 cos (x) sin (x) dx = %3D
A:
Q: 4. S(1 – cos 4u) du 5. S sin x cos x dx
A: 4) Given: ∫1-cos4udu Apply linearity: =∫1 du-∫cos4u du =u-∫cos4u du
Q: 1 3. a) Verify that sin x cos x = tan x--- π for the value x =-. 4 Ls Sin 4cos 4 2.s TanT/4-Y2 しS…
A: We can use the concept of trignometrical ratio in order to solve the given problem.
Q: What would be your of 'du' using the IBP (e^x) (sinx )dx * none of the above e^x cos X sin x sin x…
A:
Q: 9. (2 sin x – 3 cos x) dx • T/2 - T/2 -
A: We use Trigonometry table for final answer and cos(-x) = cos(x) sin(-x) = -sin(x)
Q: Suppose x and y are functions of a third variable t If sin2(x) + cos²(y) =- and dr dy what is the…
A:
Q: 7+2 sin y -dy = D cos ?y
A: on solving this we get the
Q: (3e + 10 cos(x)) dx ntegral =
A: Integration problem....
Step by step
Solved in 3 steps with 3 images