dx 나) | 10-10x

Q: Evaluate the integral. x sec (3x) dx + C

A: Topic = Integration

Q: 1 dx (1+x2)2

A: Given:

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

A:

Q: dx b. (x² + 1)(x² – 2x + 1) -

A:

Q: 1 |x+1|dx -2

A: ∫-21x+1dx

Q: Evaluate the integral dx (3x + 15)²’ by making the appropriate substitution: u = dx + 15)?

A: To evaluate:∫dx3x+152

Q: rp= dx bo 1. to

A:

Q: Evaluate the integral. 3) S- dx x/ 16x2 - 7

A: As per the guideline we are solving only first question. Kindly repost the other question in the…

Q: Evaluate the integral. 2 dx x2 + 4x + 20

A:

Q: 3 dx 1 4x – x2 – 3

A:

Q: Find the integral of s(2i - 2) dz x) dx N/3

A: ∫xndx=xn+1n+1+C

Q: Find the integral. Show complete solution. x+4 dx X-4 1.

A: ∫x+4x-4dx

Q: Find the integral ∫dx / √1−2x−x2.

A:

Q: Evaluate the integral. dx a > 0 (a² + x²j3/2?

A:

Q: (a) Define a substitution variable u and write / x(x +1)*dx in terms of u. Do not solve the…

A: detailed solution is given below

Q: Evaluate the integral. x sec (9x) dx +C

A:

Q: Evaluate the integral 2 dx where fx) if -2 s xs 0 16-2 if 0xs3

A: Given function is The integral isThe integral can be written as: Plugging the function and applying…

Q: S e2x sin 2xdx

A:

Q: S ex √1-e²x dx

A:

Q: Evaluate the integral. '5 dx (x2 - 1)3/2

A: *Given integral is, I=∫251x2-132dx Integrate the above expression. I=∫251x2-132dx Put,…

Q: Find the integral ∫ dx / x3+1.

A:

Q: Solve the equation by Cauchy's integral formula. ez dz z - 5

A:

Q: Evaluate the integral 2.x2 + 6x + 5 dx, x2 + 3x + 2

A:

Q: Evaluate the integral. (e 4X +7e=x) dx |(* +7e *) dx=] 7eX) dx:

A: Given: I=∫e4x+7e-xdx we know that ∫ekxdx=ekxk+c                                             ..1

Q: Find the integral. хебх dx (6x + 1)2

A:

Q: Given the integral J6x2 - 4x dx бх2 - 4х

A: Complete the following question involving basic integration techniques. Given the integral…

Q: Find the integral of dx V1 – x²

A: Solve by integration

Q: Evaluate : Integral from 0 to 2 : 2x^2 e^-2x dx

A: To determin the value of the definite integral.

Q: 2 dx o 2x² + 3x + 1

A:

Q: Evaluate the integral. 3 dx -2

A:

Q: Find the integral ∫dx / (2x−1)(x+3).

A: We use partial decomposition

Q: dx 2 (1+3x)2

A: We will find the integral as following.

Q: dx 2 28 — 12х — х

A:

Q: Evaluate the integral. In 5 2x 3 e X dx 0.

A: Basic integrals : →∫mneaxdx  = eaxamn Properties of Logarithm : →aln(x) = ln(x)a. →elnx=x.

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

A:

Q: In 2X dx Find the integral of J!

A: Find the integral using substitution method

Q: Evaluate the integral. dx 2 (a² + x²)3/21 a>

A:

Q: Solve the integral: √√ 3√x dx x²

A:

Q: Evaluate the integral (x – 1)ez xp- x² – 2x + 2

A: The objective is to find ∫-∞∞(x-1)eix(x2-2x+2)dx It is known that, eix is an increasing function.…

Q: Evaluate the integral. (7x + 2) dx x2 + 4

A:

Q: Evaluate the integral. 1 X - 4 dx x2 – 5x + 6

A:

Q: Solve the integral. dx 6. - Aear V1 – 4e2x

A: ∫dx1-4e2xFormula:∫dx1-x2=sin-1x+C

Q: a) Find the integral 3x7 dx dy . Vr – x2 -

A: Given, the integral is Here y = 0 and y = 1 and x = Öy and x = y2.

Q: To evaluate the integral/ V3 – 3x² dx,

A: Substitute, x=sin(θ)dx=cosθ dθ The expression f(x) becomes,

Q: Evaluate the integral. B 4х- 3 dx J2

A: To evaluate:

Q: S 3xe*dx

A: Given problem :- ∫ 3xex/2 dx

Q: Find the integral of (1 + 2x)e^(-x) dx from x-0 to x--. A. 3 B. 4 C. 2 D. 1 O A B. DI

A: Use integration by parts for solving it,

Q: 1 dx 1+ 3x x2

A:

Q: Find the integral. J (x³ + 4x– 3) dx -

A:

Q: 16 dx Vx-1 6,

A: I=∫9161x-1dxPut u=x-1differentiate w.r.t.xdu=12xdx2xdu=dx2(u+1)du=dxas x→9  ,u→2 as x→16 ,…

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.