• T/2 d (sin x)23 dx = dx

Q: S cos(2x)e2* dx (recurring)

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Q: π/4 [sin (√x) dx 0

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Q: d (sin (x)e*+*) dx dx

A: It is given that, ∫ππ3ddxsin2xe3x+πdxwe have to evaluate it.

Q: Q2/Find dx of y = sin(e') + xtan-1x. %3D

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Q: T/2 e2x sin x dx

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Q: (1) хdy — ydx — Vx? + у? dx (2) — Зу? — у? sin x dx (3) (x2 + 1)4 — у2 + 1 dy dx

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Q: y = Ln (tan(x).· 3sec(=) ) + v sin(x³) dy/dx agi

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Q: -. Solve for dy/dx a. y = *+ sinx cos x † Sin X

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Q: S(sinx + cos x)² dx

A: To find: The integral of . Formula used: Algebraic formula: Trigonometric formula: Integration…

Q: dy for y = 3 sin-(x²). J. Find dx

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Q: -2 e* sin(x) -dx 1+ x2

A: the solution is as follow we will solve the given problem by numerical method  Trapezoidal rule

Q: /2 (e) [™¹², sin(x) cos(x)dx

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Q: (d) ƒ sin(1 – x)(2 – cos(1 – x))ª dx

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Q: xdx g) 7x + 2) h)f sin(In x) dx of xe" dx

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Q: dx3 dx =| V9-x² cos? 1+sin x .2 dx = 4. 5. 6.

A: (4)∫xx-1dxLet x-1=udx=du=∫u+1udu=∫1 du +∫1udu=u+lnuu=x-1 therefore∫xx-1dx= (x-1)+ln(x-1)+ C

Q: dy Solve for dx given eex (cosx)"

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Q: COSX sin x dx 4. S 1-ఆశి అరికి న

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Q: 211 sin nx dx [ [1-cos2nx]dx t, where n %3D

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Q: S(L* -1) (4 x²)dx Se* . sin e* dx Stan(3x +5) dx

A: 1. To evaluate: ∫x2-1·4-x2dx Solution: Power rule of integration states that: ∫xndx=xn+1n+1…

Q: dx (2) 3y sin x - -2xy cos x = 0 dy

A: Follow the procedure given below.

Q: e cos-1x 5. S V1-x2 dx

A: To evaluate the given integral.

Q: Find dy Ser ysX"+3*+ e° dx + sin (1nx)

A: Given that: y=xy+3x+ecos-1x+sinlnx

Q: "/2 sin x dx Jn/a V1-2 cos x 4.

A: As per the guidelines  we can answer only one question at a time. If you want to get the answers  of…

Q: (4e²+7x°+5 cos z + 2)dx

A: Solve integration

Q: ) S² e2x sin x dx T/2

A: To find the integration from 0 to π/2 e2xsinxdx

Q: + Зу- cosx %3D ,y(1) = 1.017 dx x2

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Q: d'y -+42=sin 2x 3 dx dx

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Q: ex sin(e*)dx 8+cos²(e*) (x+2)dx x2-3x+5 dx -2 x²+4

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Q: d’y 3. In(sin x) = dx Α. π В. О С. -2 D. 2e

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: dy Find dx 6x %3D e sin (x + 2y)

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Q: xcos( x), sin(x) 8. dx = LHIN

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Q: a) | sin x dx Ssin'xe x+1 dx b) + 2x

A: We will use the double angle formula C=integrating constant

Q: 2. f" S"(sinx + cosy) dx dy

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: dy y sin x - Solve : +-= cos x+ dx +

A: Solution is given below:

Q: Solve cos x(e2y - y) = e' sin 2x, dy dx

A: We have to solve the given differential equation.

Q: Find dy/dx at the given point without first solving for y. x2 + 2xy + 17 = 0 at (1, -9) dx

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Q: a) [ sin³(2x) cos(2x)dx (a) [ Sin(+) dx (b) [ Sin(F) dx dx (2 + e*)? dx |2+e*

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Q: dy dx 16. -x tan (y-x) = 1.

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Q: (d) ƒ COS √1+sin x dx, (e) cos(lnx) S dx Т

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Q: S sin x (1+ cos 2x)² dx

A: In some cases integrals can be converted to standard integrals using an appropriate substitution.…

Q: 1 S (4x4 – e3* + cos(2x) – + 5* ) dx - x-1

A: First you need to go through the formula of calculus. Specially go through the details of the…

Q: x sin(x² )dx 2.

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Q: Sn cos® x dx

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Q: dx 3. S- x V1-4 In2x 4. J tanx dx 15.

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Q: dx +(sin x)y'-3xy = ln x(+1)

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Q: Find (dy)/(dx) if ey = ex + sin(x2x).

A: Given ey=ex+sinx2x

Q: 1) ſx e* dx 2) S x³ e* dx 3) ſx² sin x dx

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Q: S sin(v3x + 2}dx

A: To evaluate the given integral