Approximate the definite integral Vr2 + 2dx using the right endpoint method and n = 5. Round your answer to 4 decimal places.

Q: Use the Special Integration Formulas to find the indefinite integral. ∫ (√9 + 4x2)

A:

Q: Find the indefinite integral. Vx +2 -dp- 3 X,

A:

Q: Use substitution techniques and a table of integrals to find the indefinite integral. xp- Vx -1

A: follow next syep

Q: arctan3 V1

A: Integral:     ∫tan-31-x(4-2x)1-xdxLet us make a substitution 1-x=z-dx21-x=dz

Q: Use substitution to find the indefinite integral. X 1²2* S= 4x² +2 X 4x + 2

A:

Q: Use Simpson's rule to approximate the following integral and compare your 1. result to the exact…

A: The integral is given as

Q: Find the integral for f dx when n-4 by using Trapezoidal rule for five digits

A: Using  trapezoidal rule,Area=h2y0+y4+2y1+y2+y3Let fx=xx2+2, where, h=b-an=2-14=0.25          a=1,…

Q: Calculate the indefinite integral 13 – 7t² – t + 43 dx. - - t2 – 4t – 12

A: Given:

Q: Evaluate the indefinite integral by substitution. Method Integral 2(2x+4)5 dx

A:

Q: Use the Midpoint Rule with n = 3 to approximate the integral 16 | (- 10x + 2x2) dx 10

A: In this question we will use basic of calculus i.e concept of midpoint rule to approximate the…

Q: Evaluate the indefinite integral. V 16 +x² dx %3D to

A: We need to integrate ∫16+x2x4dx

Q: evaluate the indefinite integral.

A:

Q: integral

A: Please refer to the image below

Q: 8х + 3 dx / 4г2 + За + 1)4

A: We implement substitution method.

Q: Use correct notation to evaluate the improper integral or say that it diverges. 00 S xe-*dx -00

A:

Q: Use the Midpoint Rule with n = 3 to approximate the integral 4 | (7x – 52)dz 52²)dr

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

Q: Find the Integral by using the substitution method.  x(7-x^2)^1/2

A: Given query is to find the value of the integral.

Q: Use the graph to approximate the integral using the Trapezoidal approximation Rule and then usin…

A:

Q: L 2x²³ + 8x doc 3 √x² + 4

A: This question can be solved using the concept of integration by substitution.

Q: Use integration by parts to evaluate the definite integral + dt.

A:

Q: dx X-1

A: Given : ∫xx-1dx

Q: 2x dx Vx+3

A: Topic = Integration Use∫xn dx=xn+1n+1+C

Q: Use a table of integrals to find the indefinite integral. (Reme 7 + 9x2 dx

A: method :-   I use Trigonometric substitution method to solve the given integral

Q: Write down the Trapezoidal and mid-point rules and use th efinite integral. You can use n = 4.…

A: Here we have to use Trapezoidal and mid-point rules and use them to show the steps to solve the…

Q: 7. (x² - 2x + 3)dx 5²

A: SOLUTION-

Q: Why does Hm have minus x in front of it. How did they do integral?

A: Both the questions are explained in step 2.

Q: Use trapezoidal rule to estimate the the integral. V + Adx n=6 a) 2.75

A: the given integral is ∫14x2+4dx given n=6 therefore  h=b-an=4-16=36=0.5

Q: 4. fx√x - 3 dx

A:

Q: Evaluate the double integralo d 9. by interchanging the order of inte- gration. Justify your work.

A: Here we will use the concept of changing order of integration in double integration

Q: Use substitution to find the indefinite integral. 6x+7 (3x +7x) to

A:

Q: Use the substitution u = 3+ eta to evaluate the indefinite integral

A:

Q: Use the mid-ordinate rule with four intervals to evaluate the integral Type your final answer below…

A:

Q: х2 — 6х + 9 dx V6x – x²

A: Given,           ∫x2-6x+96x-x2dx

Q: Use the Midpoint Rule with n = 4 to approximate the integral 10 I Va + 11 da = Round your final…

A:

Q: Evaluate the indefinite integral by using by part technique 4x dx 4. b. 4xe

A:

Q: Approximate the definite integral using the Trapezoidal Rule n/4 tan x dx Trapezoidal

A: Since you have not mentioned the value of n and which rule to apply clearly. We will apply first…

Q: Use the Midpoint Rule to approximate the integral 15 (-læ – 3a?)da with n=3.

A: Given,  ∫715(-1x-3x2)dx

Q: Evaluate the integral: t3 Express your answer in decimal. Round off to 2 decimal places.

A: I have stated the used formula in the solution

Q: SxVx-6 dx

A: ∫xx-6 dx

Q: Applications

A:

Q: Evaluate the integral by reversing the order of integration. An (6x²) dxdy COS 0.90634

A:

Q: Use a table of integrals to evaluate the definite integral.

A: It is give that,∫05x25+2x2dxWe have to evaluate the definite integral.

Q: find the indefinite integral of y/sqrt(1+3y)

A:

Q: Please find the value of integral in the image.

A: It is given that

Q: How do you evaluate this integral?

A: Given integral is ∫01xsinnπxdx

Q: 3 (x³-4x)dx

A:

Q: Evaluate the integral by reversing the order of integration. 12 3y Ар хр

A: Solution is given below :

Q: Use integration by parts to evaluate the integral. | (In(3x))*dæ- 8, +C

A: The given integral is ∫(ln(3x))2dx. Let  3x=u. Differentiate both sides.    3dx=du⇒dx=13du…

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.