DOuble integr ation O computc SS 12x - 18Y dA R= E1,4] × C2,3] © First with respect to y O Now, first with respect to X

Q: 04 * O O Evaluate -1+2x-2x^2 -1+2x+2x^2 -1-2x-2x^2 -1-2x+2x^2 d dx 1-x fe 1² dt).

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Q: Solve Initial value problem i. 8cos?ydx + cosec²xdy=0, y() = dy _ x(r+1) 4y3 y(0) =- 1/V2 ii. dx

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

Q: Express in exact form: In(x² + 1)dx

A: The definite integral is given as .The aim is to express this form in exact form.Concept used :Apply…

Q: solve xsinydx+(x2+1)cosydy=0

A: Given differential equation is: x siny dx+(x2+1) cosy dy=0 Use variable separable method to solve…

Q: sVx? + 1d: Idx = 1

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Q: Evaluate (2+ it)² dt and f sin(2it) dt.

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Q: b) Evaluate: i) Sx(V ++x) dx -2 10 dx ii) J1 x(10+Inx)³ jii) Jo 1+x? dx

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Q: Integrate from 0 to 2

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Q: 2y*+1 dy 3

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Q: Prove that dl = (Vu) x (Vv) - do.

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Q: Star tan 5t dtl

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Q: Evaluate: f(cos 5x - 2 sin 3x) dx O sin 5x - cos 3x + C Osin 5x - cos 3x + C O sin 5x+cos 3x + C…

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Q: Find f if ∇f = 4xy i + (2x^2 + 8y) j

A: Here I am attaching image so that you understand each and every step.

Q: y-Castesinz şinz

A: The detailed solution is as follows below:

Q: solve the ODE : xydx + ( x^2 + y^2 + 1 ) dy = 0

A: Solution: The objective is to find the general solution of the given differential equation

Q: 2. Perform the indicated operations: (2D2 - 3D+5) (xcox x- 3) a. b. (D3+2D- 4) (e*sin x + e2x)

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Q: Integrate: [ z²(4x³ – 4) ªdx + C

A: We need to find out the integration.

Q: Solve the ODE y''+y= sinxcosx using the superposition approach

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Q: dx Q3\evaluate ini + S

A: For a function g(x) and its derivative f(x) such a way that : then;  where C is the constant of…

Q: linearise R = AT + BT

A: To linearise the below equation. R=AT+BT2

Q: dx Use a trig substitution to evaluate x³ Vx² x > 1. 1 6. -

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Q: rtan r d Vt3 +4 dt dx 1/a

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