Che number ofunits in Z31[x] is

Q: 10. Evaluate the integral. dx x²/4 – x²

A:

Q: ! 6-Find the value of the integral * U x3/2 e-x dx

A:

Q: find integral x3 3) S dx /1-x²

A: We have to find the indefinite integral

Q: dx integralini hesaplayınız. 1-x3

A: Evaluation of integral

Q: 1: Evaluate the integral 3x - 1 (x + 4)(2x - 1) I -dx.

A:

Q: dx Evaluate x²/4 x²

A:

Q: 3. Evaluate the indefinite integral 1 -dx x' + 3x? 3

A: Given,

Q: integral from 1 to 2 of (e1/x^3 ) / x4

A: To evaluate

Q: integrate f(x) =x^3 * exp(1.33*x) from 1.26 to 2.01 with simpsons 3/8 method use 21 intervals for…

A: Given that, f(x)=x3(e1.33x) , from 1.26 to 2.01 with 21 intervals  To determine The integration…

Q: sec x2-1 1

A: Given problem:-

Q: 7. Evaluate the improper integral. -kx e (k: constant)

A: Please refer to the image below.

Q: 6. Find the indefinite integral. S 3x³ V3x4 + 7 dx (Use substitution method)

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

Q: 4. Is y' = sin (ty) separable a) not separable c) separable %3D b) for y =, yes d) with a proper…

A: We have to check whether the given differential equation is variable separable or not.

Q: 4х+2 Evaluate the integral -dx. (Hint: Use Algebra to help further rewrite your (x² +1)(x=1)…

A: First break by using partial fraction then integrate

Q: Use integration by parts to prove the reduction formula: п-1 S (In x)"dx = x(ln x)" – n [ (Inx)"-! п

A: 2

Q: a) [ Evaluate the integral 4x - 1 (x + 2)(2x - 1) S -dx.

A:

Q: 4. Use the Fundamental Theorem to evaluate (x³ - 6x)dx . (Your answer must include the…

A: Use the integral of polynomial.

Q: 1 Evaluate the improper intergal | dx (x2 + 9)° using the residue theorem.

A:

Q: 2. Find the indefinite integral: S (Vã+ - x + - 1) dx 6 .3 X X

A:

Q: 9-10 Use the Midpoint Rule with n = 4 to approximate the integral. 9. 2² dx

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: 60. Is there a value of b that will make Sx + b, x<0 (cos x, x20 continuous at x= 0? Differentiable…

A: A function is continuous at x=c, if LHL at c=f(c)=RHL at climx→c-f(x)=f(c)=limx→c+f(x) A function is…

Q: 7. Use integration by parts to prove that for any positive integer n, | cos"x dx = 1 cosn-1xx+ n - 1…

A:

Q: dx integralini hesaplayınız. x(In x)

A: Fundamental theorem allows us to compute definite integrals using the antiderivatives. It states…

Q: Use integration by parts to establish the reduction formula: Jx" cos x dx = x" sin x – n x*-1sin x…

A:

Q: 5x Q5 integral Evaluate the in dx (x²+1)(2.x-2)

A: Let I=⇃5xx2+12x-2.dx    I=⇃52xx2+1x-1.dxBy Method of partial fractions…

Q: 1. Use integration by parts to prove the reduction formula S(Inx)" dx = x(lnx)" – n S(Inx)"-1dx. %3D

A:

Q: 5x dx. - 6 Compute the integral x2

A:

Q: 2) evaluate the indefinite integral £x² 9+X² dx

A: The main objective is to evaluate the integral. The integral formula is ∫xndx=xn+1n+1+C, where C is…

Q: 9-x2 B: Find the integral S 18-x2-y xydzdydx.

A: We have to calculate the given intregration

Q: 2. Evaluate the integral: 2xe-**dx -0

A: topic - integration

Q: Show that integral 0 to infinity  x2 e -x2  dx = 1/2 integral 0 to infinity e -x2  dx

A:

Q: 5. Express the integral: e- dr in terms of gamma function.

A:

Q: 6. Show all work for how to compute: In(x)dx. (Show work for how to find the antiderivative 1 of In…

A: Use integration by parts

Q: (a) Evaluate the integral [x (x* -1) ´dx by using substitution.

A: To evaluate the given integral ∫x3x4-12 dx by using substitution.

Q: = 1. Use a local linear approximation of the function f(x) = ln(x + sinh(x) + cosh(x)) at some point…

A: Since the required point is 0.001 near to 0, so we approximate linearly about x=0, also at this…

Q: von ² moren notional a from x = 1 to x = 2 8 y = ln x -

A: Given :y=lnx-x28

Q: 6. Evaluate the integral dx (4x2 + 1)(x² + 4)

A:

Q: -3 evaluate the integral (x2 – x + 2) dx using its definition.

A:

Q: xcosr (i) Find the Cauchy principal value of the integral dr. ² + 4x + 8

A: As per bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: 19. f(x. y) In(1 - x - y) %3D

A: As per our company guidelines we are supposed to answer only the first question that you have…

Q: 2 1. Evaluate the integral: dx 2 x2-x

A:

Q: -X +7 Evaluate the integral: dx (x-2)(x+3) In x - 2|+2 1n x +3 +C 2 In |x – 2| – 2 In |x + 3|+C 2…

A: First of all we will do partial fraction, then we will evaluate the integral.

Q: 3 Evaluate the definite integral dx. (x- 5)4 -2

A:

Q: 1 Evaluate the improper intergal dx (x² + 16)² using the residue theorem. 8.

A:

Q: 39. Use Leibniz's Rule to find the value of x that maximizes the value of the integral px+3 1(5 – t)…

A:

Q: 15. Evaluate the integral 10 ·dx (x – 1)(x² + 9)

A:

Q: 1. Use algebraic manipulation and (if necessary) u-substitu- tion to integrate the function. (a) /…

A: Hey, since there are multiple questions posted, we will answer the first three subparts of the…

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.