cos y S- = dy V1+ sin y

Q: Solve the following DEQ by separable method: dy (cos x + 1)( sin y – 1) dx

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Q: dx x² V4 – x?

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Q: 3., J(5 cos x+4 sin x) dx

A: We have to find integration

Q: Solve the two items using Integration by parts. 1. [x' V9- x² dx 2. Te2* sin x dx

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Q: Ssin (y)cos(y)/3+ sin° (y) + 5e" dy

A:

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

A: ∫xndx=xn+1n+1+C

Q: Se* sin e*dx

A: We have to find integrating of given Questions

Q: 2.Find the following indefinite integral without substitution. S sec y (tan y- sec y)dy

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Q: Can i get help step by step

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Q: .2 Integrals of the form V1+4x? dx

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Q: s (e² + 4 cos 8z dz 1+sin 8z,

A: A detailed solution is given below

Q: Q4: Solve the following integrals:- dx 4dx (1) f 2+cos x (2) J sec xesin x (3) Sx sec? x dx dx (4) )…

A: Indefinite Integration

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

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Q: nto Usx) = S K(x5) K($st) f(t) dt d 3 %3D a Us CX) = Sfct)[ [K(x,3)K(3st)d3] dt %3D

A: Correction in equation 9: u2x=∫axKx, ξ∫azKξ, tftdtdξ     ………9 So, u2x=∫ξ=axKx, ξ[∫t=azKξ, tftdt]dξ…

Q: Integral of sin^3 y cos^5 y dy

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Q: 3. Evaluate the integrals: e2x dx x2 е. 3 f. Si tan(2x) dx 3

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Q: 2л I7 ở sin(4)dp do dp 0.

A: To evaluate: ∫0π∫02π∫05p2sinϕdp dθ dϕ Evaluating the given integral, ∫0π∫02π∫05p2sinϕdp dθ…

Q: For the following integration / sin"(24x) cos(24x)dx what is the suitable substitution? a.…

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Q: 2/3–2 dx integralinin değeri x² + 4x + 8 aşağıdakilerden hangisidir?

A: The integral can be solved using completing the squares method. Since the integration is definite…

Q: In the integration of (cos y)^2 dy/(1- sin y), what is the first step to solve the integral? *

A: Given,          ∫cosy2dy1-siny

Q: Use integration by parts to evaluate the integral. 6 3 e cos x dk 0

A: Given integral is

Q: What is the particular integral of the equation (D 2+9) y= x Cosx?

A: Use basic properties and formula, get PI of given equation.

Q: !!! 6 cos (x2) Evaluate the integral -dx dy dz by changing the order of integration in an…

A: Triple integral

Q: E. Find the indefinite integral. -dv 1+ 7v

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Q: Sin (x-t) u(t) dt = 1- Cos x

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Q: Evaluate the exact value of the multiple integral. 3z (2y 24 sin(2x) dx dy dz -y

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Q: How many times will you perform integration by parts to evaluate sin (Inx) dx? A 4 (B 2 1 3

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Q: Solve the following integrals: i. S(e** cos(2x)) dx using integration by parts or tabular method.…

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Q: If the integral of x²dx V(9-x²) (0 – →sin 20) + C. What is 0? - -1 O 3Sin (x) O Cos" (3x) O Cos' ()…

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Q: (2x sinh2 + 3y cosh?) dx – 3x cosh dy = 0 |

A: Concept Used: For  y'=f(x, y)   ...(*)If f(hx, hy)=hn f(x, y)Then (*) is homogenous equation of…

Q: 1) Find dy/dx if: y = ln (tan¬'x) 2) Solve the following integral dx xV25x² – 2

A: Find the integration using substitution method

Q: Find the most general antiderivative or indefinite integral. 2. cos 7x - csс"x) dx

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Q: evalutate the integral from 0 to pi/6 sin^3(x)/cos(x) dx

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Q: Evaluate the iterated integral. ra/2 7 cos (x + y + z) dz dx dy

A: To find the integral.

Q: cos5 0 sin 20 de

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Q: by taking n = 2 • dx solution of the integral with Simpson's 1/3 method which one?

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Q: I. Solve the following integrals completely and honestly. Show your solution in ink and as neatly as…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: o integrals are equivalent and (b) calculate 2. | sin(t) dt = sin(x + 1) dx %3!

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Q: To compute the definite integral 2xes dx we should use Select an answer with u = and dv = | dx The…

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Q: -cos-sino de has the form sin 2 2 -F(0) +C. What should The resulting integral of 4 be the value of…

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Q: a) Solve the integration by parts [cos(x)e*dx.

A: We need to solve the given integral  This can be evaluated as follows:

Q: Q4: Solve the following integrals:- 4dx dx (1) S: (2) S sec xesin x (3) S x sec² x dx dx (4) J 2+3x…

A: Using definite integral

Q: Solve for x= 0.1 the intial value problem (I.v.p) -3 Siny %3D

A:

Q: Find a formula involving integrals for a particular solution of D.E y" + 3y" – y' – 3 y = tan x

A: In this question, we find the particular solution of the differential equation. Here, we used the…

Q: 1 x²y dy dx 2 Jo /0 Jo

A: Consider the expression is, 12∫04∫02x2ydydx Solve the integral as,…

Q: Find a formula involving integrals for a particular solution of D.E y" + 3y" – y' – 3y = tan x

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Q: The value of the integral T/2 sin x dx cos(x)e- sin Jo is: Оа. 1-е-1 O a. O b. e- sin 1 O C. С. cos…

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Q: S*Sx² sin(xy) dydx

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Q: Q.4 Use the integration by parts to evaluate the integral. V3 2 sin-1 x dx

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Q: solve the integral below please. y = 1 + ∫x0 2t(1+y2(t))dt

A: We will find out the required general solution.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.