(T/2 cos® x dx Determine the reduction formula for cos" x dx and then find

Q: Find integral.

A: ∫-11xcos x dx

Q: 6. dx dy + cos.

A: Given: dydx=yx+cosy-xx

Q: Solve the tollowing D.E Y+49= cos X sinx %3D

A: The given equation is a second order linear, non-homogeneous differential equation with constant…

Q: d [ sin(x)cos(x) dx dx 1+x4

A: Find the integral

Q: Recall that cos- arccos x. Find r1/2 e sin(cosx) dx. 0.

A:

Q: Q3- Find i) S sin3x.cos(-5x)dx

A: We have to evaluate the following integral: int sin 3x . cos (-5x) dx

Q: cos-1(2 x2)

A:

Q: Solve for f(x) the ir f f(x) cos px 8 sin² t

A:

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

A:

Q: e) y = In(cos 4 x) f) y = sin² x y = In(cos(e3*)) g)

A: We can solve using first order differentiation (using chain rule)

Q: Consider the implicit function. e = sin (4x) dy in terms of x. dx Determine the formula for dy dx

A:

Q: Q3 Find dy/dx on the graph y3 sec/x2 + y2 = cos2x at point (1, 2).

A: The given function is, y3secx2+y2=cos2x

Q: df (x) If f(x)= log,s 2 cos 4.x|+ sin x|, Then find 9 dx at x = - 6. -

A: Given, f(x)=logsec2ccos4x+sinxTo finddf(x)dx at x=-π6

Q: 3e2* -1 d) lim 2x 4e* +cos x

A:

Q: 10. f sin x dx 25+cos²x

A:

Q: tanr sec r dx 3

A: Here we will find the antidarive.

Q: /2 (e) [™¹², sin(x) cos(x)dx

A:

Q: (d) ƒ sin(1 – x)(2 – cos(1 – x))ª dx

A:

Q: COSX sin x dx 4. S 1-ఆశి అరికి న

A:

Q: L(cos at) = s2 - a2

A: To verify that ℒcos at=ss2-a2.

Q: 2- Find dy/dx for y = In(tan(2x2))

A:

Q: S(6Vx + 3 cos x - 8)dx

A:

Q: e cos-1x 5. S V1-x2 dx

A: To evaluate the given integral.

Q: y + sinx cos2(xy) cos (xy) Ex. 13. Solve dx + %3D .cos?(xy) + siny ) dy = 0. CS Scanned with…

A:

Q: 1 dx x +c, find- dx exactly where c is a constant. 5. If 1+cos x = tan 2 X 3+3 cos 4 n dx tam S c /+…

A: It is given that

Q: , Sercoszx *cos2x dx 3.

A: Since multiple questions are asked answering the first question, repost other question for solutions

Q: I= ( cos(In(x)) dx 13- I =

A: GIven that: I=∫cos(ln(x))xdx

Q: Q3 Find dy/dx on the graph y3 sec /x2 + y2 = cos2x at point (1, 2).

A: We have to find the derivative  of given expression at point (1, 2)

Q: 2 X 1 t3 COS 4- x² dx 2 -2

A:

Q: (a) Find dy for dx = In (3x – 2) (tan 2x) -

A: Explanation of the solution is given below..

Q: ex sin(e*)dx 8+cos²(e*) (x+2)dx x2-3x+5 dx -2 x²+4

A:

Q: dy/dx of y=cos^-1 (e^-3x)

A: Given y=cos-1e-3x

Q: (一 - dx t - 3 X*cos(3)-4-2 ) -)dy=0 = 0

A:

Q: FIND THE SECOND DERIVATIVE (y") OF THE FOLLOWING IN ITS SIMPLIFIED FORM (COMPLETE SOL'N): у%3D 3…

A: given that y=3 arccos1-x3+6x-x2 find the second derivative of y

Q: 1 dx 3 sin x+4 cos x+3

A:

Q: Find Se2= cos(x)dx.

A:

Q: 1. x2 cos 2x dx

A: The given integral is: ∫x2cos 2x dx

Q: 16 ) d du -1 cos и — 1<и<1 dx V1 – u² dx

A: As we know that the differentiation properties:- chain rule: ddx(f(g(x)))=f'(g(x))g'(x)…

Q: f Cos 6 x dx 2 Cos ²3x

A: Solving the problem by finding the value of the problem.

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: d dx et ex sin x + e* cos x

A:

Q: Integrate x cos(2x^2+7) dx. Select the correct response: O sin (2x^2+ 7) + C

A: Integrate using substitution method.

Q: 1 S (4x4 – e3* + cos(2x) – + 5* ) dx - x-1

A: First you need to go through the formula of calculus. Specially go through the details of the…

Q: dx +x cos(t)-sin(2x) = 0, dt sin(2.x)

A: We have to slove this ODE:

Q: (c) So cos(-x)(x²)dx (d) S(3x² – 2x + 1)sin dx

A:

Q: 1. " x² cos 2x dx

A: (1) We need to evaluate the following integral ∫0πx2cos2xdx

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: dy Solve cos x(e2y - y) - dx = e' sin 2x,

A:

Q: x2 sin3(x) Q.2\ Find dx if y = In cos(x*).V1+x/

A:

Q: dx It sin x-cos x COS

A: To evaluate:∫dx1+sinx-cosx Solution: We know,cos2x=1-tan2x1+tan2x     ...(1)sin2x=2tanx1+tan2x…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.