3- I = xp- (x² + 1)²(x² + 2x + 2) Solve this integral by using Rezidue Therom. 8.

Q: Evaluate the integral.

A:

Q: Solve the integral. dx 6. J1- 4e2x

A:

Q: How to evaluate the integral of [(dx)/(9-x2)(3/2)]

A:

Q: 4) Solve the integral: Show work 10x2-48x + 160 dx (x - 4)2 (x2 + 16)

A: Given,

Q: Evaluate the integral of ax^2 e^-bx dx

A: We will use the "integration by parts" method to find the evaluation of the integral.

Q: Find the following indefinite integrals through the substitution method. 10. (4- r)%

A:

Q: 5. Find the indefinite integral 6.x²dx (2x³ + 7)3/2

A: The solution for the above question is as shown below.

Q: Find the indefinite integral.

A: ∫ −1√1−(4t+1)2 dt Take the constant out:    ∫a·f(x)dx=a·∫f(x)dx =−∫1√1−(4t+1)2 dt Apply…

Q: Calculate the definite integral of x^2 + 4x approaches from 1 to 3.

A:

Q: Use any method to evaluate the integrals

A: (57) We have the given integral as I=∫2x-2-x2x+2-xdx Let us consider that,…

Q: (x+2) dx /3-2x-x2

A: Integration:                             ∫(x+2)3-2x-x2 dx

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

A: Given:

Q: 12x? Evaluate the integral: 16 – x² -

A:

Q: xt-x³-x-1 x3–x² dx Compute the integral.

A:

Q: -14 dx 4 -2 x+2

A:

Q: Find the indefinite integral by making the substitution x = 9 sin e. 6. V81-x2 1 3/2 +C 81 V81-…

A: Option b is correct

Q: Find The integral of The funchion 3172X+1 年2x4! dx 2X+3X41

A: =?

Q: Solve the integral. x2 – 4x + 1 4. J (x2 – 2x + 10)²

A: Given: ∫x2-4x+1(x2-2x+10)2dx Take partial fraction…

Q: 2.x D' -8 .

A:

Q: 6. Evaluate the fallowing real integrals by residue theerem 3 2计 I = Ssine -d8;a>l anse 2(a- Ja?1)

A: Given: I=∫02πsin2θa+cosθdθ, a>1

Q: Solve the integral: A In/1+ B -In|1+ x 5. 1 3X + C + C 5 x X + X x dx

A:

Q: Find the indefinite integral: O 10sin 3x - 20 cos 2x +6 e5x + C 90sin 3x 60 cos 2x + 150 e5x + C…

A: The objective is to find the indefinite integral.

Q: Solve the integral. 1 dx 6. 3x2 + 2x + 1

A: Given     ∫ 13x2+2x+1 dx

Q: integral of 1/(1+x^2)^2)?

A: Then integrate by substitution

Q: (2t+1)(2t-1) dt

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the integral of f(x) = 1 √1-16x² between 0 and 1.

A: The given integral is 1/sqrt(1-16x2).

Q: Evaluate the indefinite integrals - e2* )dx

A:

Q: Find the indefinite integral. Solution in handwritten. 6x² 1. Sa -dx (4x3-9)3

A:

Q: Use the fact that 1 +C 2e2 to either evaluate the improper integral -dr, or show that it diverges.

A:

Q: solve the integral: I1= integral of 1/((x-1)(x2-4x+1)) dx

A:

Q: What is the integral of 2.9^x from x=1 to x=4?

A: This question related to integration.

Q: 3 1 L₁ dz -3 (x+2) ³0 Compute the integral:

A:

Q: Find the integral of So 7x+2x² (x-4)(2x+3X2x+1) dx

A:

Q: Evaluate the integrals

A:

Q: 4x4 +1 dx 2г3 + х? —

A: We are given the Integral:∫4x4+12x3+x2-xNow , using long Division…

Q: Evaluate the integral. (x3 – 6x)dx -2

A:

Q: Find the general indefinite integral. x* + 4x +1

A:

Q: solve both without using the table of integrals. Q1) integral of cos4xdx   Q2) integral of tan5xdx

A: according to our guidelines we’ll answer the first question since the exact one wasn’t specified.…

Q: (ポ-2) X1 X

A: ∫12(x2 -2x)dx/x here now diivide by x ∫12 (x -2)dx [x2/2 - 2x]12 (2)2/2 - 2*2 - 1/2 + 2 2 -4 -1/2+2…

Q: Find the indefinite integral J(-16r² – 4x + 6)dr. a. -12r-4x + 6r +C b. -4x*- 2r+ áx +c c. -4x-2r+…

A: Solve the following

Q: Evaluate the integral.

A: Our Aim is to evaluate the integral given below:-I=∫xe2x(1+2x)2dx  -(i)

Q: Solve the function 3x4ex^5 dx on the integral from 2 to 3

A: Given:

Q: Calculate the integral of - e2x -dx. 3x +8

A:

Q: -2e dx

A:

Q: x-1 マーメ-1 ーズ

A:

Q: Evaluate the integral. 3. [(ax-2-4) dx 2.

A: The given integral,        ∫234x-2-4dx

Q: Evaluate the indefinite integral. dx (9 – x²)3/2

A:

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.