of. by + *タ+ 67 =×)n resolvent solve the APC7アーズ タ-S kernal method given voHerra integral equation

Q: find the genecol solution of Cauchy EuLer equation

A:

Q: ,2 2. 6+t dt

A:

Q: Evaluate the indefinite integral. x²dx V4 – x2 -

A: The given integral,       ∫x2dx4-x2

Q: 3x+1 2-2x+2

A:

Q: Find the indefinite integral: 10sin 3x - 15 cos 2x + 6 e5x + C O 90sin 3x -60 cos 2x + 150 e5x + C…

A: 30∫cos3x+sin2x+e5xdx=30· ∫cos3xdx+∫sin2xdx+∫ e5xdx=30·…

Q: Calculate the exact value of each definite integral in Exer- cises 47-52 by using properties of…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Evaluate the indefinite integral: ∫(18t5 − 10t4 − 28t) dt

A: Given the indefinite integral: ∫18t5-10t4-28tdt

Q: state what method applies and how one applies it, but do not evaluate the integral:

A:

Q: Find the smallest positive root by using the false position method V fEx)=x^2-6x-x^3+2 \) with two…

A: False root method: for given f(x) root=x2=x0-f(x0)⋅x1-x0f(x1)-f(x0)

Q: Solve the double integral.

A: We will find out the required value.

Q: will allow as te solve for x?

A: we have to tell which equation will allow us to solve for x.

Q: dt 15+2t-t

A:

Q: Use substitution to find the indefinite integral.

A: Given, I=∫z4z2-5dz now solve this integration put 4z2-5=t 8zdz=dt put this value in equation…

Q: Evaluate the indefinite integral S(z -9-dz 를-9z + 듣 +C 4x4 중-9z + + C 222 - 9x + 7lnx³ + C - 7 9x -…

A: First we write each term using exponent

Q: Which of the following integration expression can't be transformed into integral of power Ju"du). @…

A: In this question , we can check which integral transformed into ∫un du.

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 2x cos2x + 3 = (x - 2)² using Newton-Raphson Method and an intial value of 1 with an error…

A: The given problem is to find the approximate root of given equation using newton raphson method with…

Q: Evaluate the Integral 2. S V5 + 12x – 9x²dx - ANSWER: 2. (3x-2)v5+12x-9x²+9Sin¬13*- 2]+C (3х-2)

A:

Q: -- 11x + 2

A: ∫dx4x2-11x+2We need to find the integration of the above function.

Q: Find the explicit solution of the separable equation

A:

Q: Solve the DE'S ;- with NoA-hamogeneust

A:

Q: 12x? Evaluate the integral: - - x² xp-

A:

Q: (1+ In²e) -' d® Otan-'(In®)

A: To evaluate:2) ∫41+ln2θ-1θtan-1lnθdθ

Q: Evaluate the integral. 4 | VE(6 + 2t) dt

A: use distributive property on function and integrate it.

Q: . Solve using integrable combinations. ydx + xdy + xy(ydx – xdy) = 0 |

A: Consider the differential equation  ydx+xdy+xyydx−xdy=0........1 We have to solve the given integral…

Q: Evaluate the integral. -1 sec 2,

A:

Q: Solve for DE: separable DE

A:

Q: Find the number of positive integers less than 1000 that can be expressed as the difference of two…

A: Find the number of positive integers less than 1000 that can be expressed as the difference of two…

Q: Solve by the method of successive approximat ion

A:

Q: The integral of the square root of the sum of two and the square root of y with respect to y may be…

A: Some integration formulas: ∫yn dy=yn+1n+1 ∫ydy=2y323

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

A: We have given a triangle With one side 9.5 inches And opposite angle 26.75°

Q: b) Show that 2x² + 8x + 14 = 2 (x + 2)° +3 by completing the square. Hence, evaluate the integral-…

A: Use integration rules

Q: When integrating (x+3)/(2x^2-3x-3), can I rewrite as integral of ((2x^2-3x-2)^-1)*(x+3).

A: Consider the given integral function.

Q: Show that L₁J - dx x² + 2x + 2 = In(√5-2).

A:

Q: The value of The binary integral is dxdy Luherea andb positive 80 -xy real constants) be

A:

Q: Evaluate the indefinite integral: (5z² +5x - 4) da

A:

Q: Evaluate the indefinite integral. (7z + 7 71 + -dr Jz² +1

A: Given,          ∫7x+7x2+1dx

Q: Mroset Whiteboard EX2: 3リ-17

A:

Q: (x – 3) V 6x – x²dx -

A:

Q: dx xV4-x?

A: Explained below

Q: x + 15 -dx 2 x – - 6x + 13

A:

Q: If a theatre holds 1300 people, how many seats need to filled to ensure that two people have the…

A:

Q: 3)(2x-ズ) ax

A: First I have split the integral in two parts then just use the rule of integral and find the…

Q: 2. Use the Table of Integrals in the back of your textbook to evaluate ∫11dx/x^2√16x^2+36 a.Perform…

A: While solving this indefinite integral, we need substitutions twice.

Q: The side if a square floor tile is measured to be 4 inches, with a possible error if 1/32 inch. use…

A:

Q: 2x+5 교-4x+6

A:

Q: Solve the integral equaher by eliminating the Inkegral = -3+) (3t -3ty(t) dt. = -3 for when ansusemg…

A: Differentiating both sides of equations. Differentiating integral using leibniz's rule.

Q: Find the indefinde integrel de |-X~12X-20

A: We can use completing the square to the denominator. -x2-12x-20=-(x2+12x+20)…

Q: b) Show that 2x2 +8x +14 2(x+2) +3 by completing the square. Hence, evaluate the integral dx. (x…

A: Given that: ∫3(x+2)2x2+8x+14dx

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.