EVALUATE Зд - 2 (c) dr x2-6x+ 8 EVALUATE sin-1x dx V1-x2 (d)

Q: [xus (2) x+10) xuIsx(p) x(1) (k)1 ×sinx (1x [x][a] (k) 1 x (m)xcosx

A:

Q: Find the general solution of f′(x) = −2x sin x2 .

A:

Q: Evaluate f(sinxcosx + tanxsec² x) dx O-[sin²x + tan² x] + C O tan²x - sin²x + C O sin²x - tan²x + C…

A:

Q: Find the general solution of f' (x) = -2x sin x2.

A: We have given the differential equation f'(x)=-2x sin x2. To find its general solution, integrate…

Q: Find. y y = sinx + TT sinx² sinx4 sinx6 + + 2! 3! 4! + ****** sinx2(n-1) n!

A: As per the question we have to find the closed form expression of y as a function of x And we will…

Q: 응(2cosh(sinfx-v)- 8. x² cosh(sin(x 9. 10. V+coshz

A: Partial derivative of f(x , y) w.r.t. x can be found by differentiating w.r.t. x keeping y constant…

Q: Determine f'(x) for: Ax) = sin (5x - 2)

A:

Q: Evaluate f 1+cos 4x dx 1-cos 4x

A: To evaluate the given integral.

Q: 2Cos3xSenx +Sen2x Simplificar: E= %3D 2Cos7xCos3x- Cos10x

A: Given E=2cos3xsinx+sin2x2cos7xcos3x-cos10x To simplify this the identities used are…

Q: 6. Differentiate. a) f(x) = In (sin²x) b) g(x) = In (xe-2*)

A: Write sin2x as (sinx)2 and simplify the terms and use the log property to simplify the term and…

Q: Suppose that 3x² - y² = 1² and y=tsin 0. Find (3). = sin 0 y (1) ¹ (2) and (2) 0 X X

A: Let's find partial derivative of given two equation.

Q: Q3) Solve for (y) if: In(y-2)= In(sinx)-x

A: As per our guidelines we are supposed to answer only one question. Kindly second question as the…

Q: 3 sin (x) 4- V1-x2

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

Q: S sin² 2xcos² 2xdx

A: This question is based on indefinite integral using Trigonometric formula.

Q: Find F(x), f"(x) and f''(x) for f(x)=13x2+ sin(15x).

A: Given,            fx=13x2+sin15x

Q: Evaluate the Cauchy principal value of 2 x 50% -dx 8 x 2 (x² + 1)²

A: We have to find Cauchy Principal Value of the given integral.

Q: 4. sin Tx - y = 0 4 -- y = -1 5.

A:

Q: Differentiate. Simplify your answers. f(x) = sin2(3x)

A:

Q: Differentiate y = (1+ sin* (æ²)) °. 3 8.

A:

Q: Verify the formulas by differentiation. ∫ (3x + 5)-2 dx = -(3x + 5)-1/3 + C

A: Given ∫(3x+5)-2dx=-(3x+5)-13+C Verify the formula by differentiation Consider Right hand side value…

Q: tan°(x) sec²(x) dx = 1/7tan^7(x)+1/9tan^9(x) %3D

A:

Q: Integrate the function. Vx2+36 dx 5x2 Select one: A In x2+36 А. 1 + x/ - Vx2 + 36 + C 5х В. Bx + In…

A:

Q: 4)y = 2 sin (3x +) - 1

A: Given: y=2sin3x+π5-1

Q: Evaluate f sin (2(V1-) dx

A:

Q: 4. f(x)=x tan² (-)

A:

Q: S sec²(3 – 2x)dx

A: ∫sec23-2x dx Put, 3-2x=t⇒0-21=dtdx⇒-2 dx=dt⇒dx=-dt2

Q: 3. Evaluate f x sin2 (x²) dx.

A: Given I=∫x sin2x2 dx To Find I

Q: 22. Evaluate dr. x2 – 8x – 9 - a. cosh-1 -4 b. 4 cosh-1* – 4 +C C. sinh-1 – 4 5 +C d. 4 sinh-1 - 4…

A:

Q: Evaluate y” - y’-2y = sin2x

A: Using method of linear differential equation.

Q: 5- Evaluate: f Sin (2x7 - 3) dx x6

A:

Q: 1 1- (-1)". f (x) = 2 sin nx. - n=1

A:

Q: Find f. f"(8) = sin(0) + cos(8), F(0) = 5, f(0) = 4 F(8) -sin(0) – cos(0) + 5x + 6

A:

Q: /2 Evaluate : | sin x dx. -/2

A: For the detailed solution of the problem follow the next step.

Q: 3 y = Vlog2(sin5 x)

A: Given equation is y=log2sin5x3

Q: sin ydy (4 + cos y)²/3

A: We know that integration of xn is xn+1/n+1 +C. Here C is integral cosntant.       Here i attached…

Q: 2Cos 2x- Sin20-2

A:

Q: 3 y = Vlog2 (sin5 x)

A: The rational function dydx represents the derivative of the function. Differentiation of the…

Q: 1. D² {Sin ² x 3 2. JD²-15² √2e²x3

A: Here D is the differential operator. D=d/dx

Q: 1)f(x)=sin³ 2x 2)f(x) = 4coshr 3)f(x) )= sinx cos*x 4)f(x) = e*cosx 5)f(x) = 8 Inx %3D

A: image is attached

Q: 3 (x) - 128 (sin4x)+ -1054 (S/8x) | 60

A: We have to answer following Questions.

Q: Evaluate the ff. 1.  ∫(3x+4)^2 dx 2.  ∫ sinx + sin(π/2-x)/cos x dx 3. ∫(1-r) √r dr

A:

Q: 4 Find 6. (b) y = -sin 2x. %3D

A:

Q: Evaluate the integrals

A: Given integral, ∫π23π41-sin2x dx

Q: e*sinx = 1 (False-Position Method)

A:

Q: (b) Verify that f(x) = 2 cos(x) sin(x). f(x) = sin(7x) + sin(8x) 7x + 7x = 2 sin 2 = 2 sin |co(-)

A: Let the function is  f(x)=sin(7x)+sin(8x)   Formula used: Sin(a)+sin(b)=2sina+b2cosa-b2

Q: What is q'(x) when q(x)=ln((5x^2+x+7)/((x^2/3)(sin(x)))

A:

Q: 3-sinx 6. f(x) = 1+ In(x3 — х)

A: Quotient rule of differentiation: Chain rule:   also

Q: 3-Еxpand In [x' sin x /Vx2 + 1]

A: According to guidelines we should have been able to solve only one question at a time #3 expand

Q: 3 1 Find: S 2x3 --+ sin(x) dx x2

A: Consider the integral

Q: 5- y = 1+sin(4x2 + 2)

A: Note - As per our guidelines we will solve first question only and rest will reposted.  ddxxn =nxn-1…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.