3. Integration by parts a.j 18x ( x+ 4)»

Q: Find value of a&b without using integration by part

A: Given     To evaluate   a and b

Q: 5. fx3 cos x? dx

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Q: 3(x² + y²)dx + x(x² + 3y² + 6y)dy = 0 a.x³e²y + 3xy²e2y = C 5.x³ev + 3x²y²e° = C c.x³e2y + 3xy²e²y =…

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Q: 3. f Arccos 2xdx

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Q: 3. у' %3D 2ху — х

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Q: Solve using Integrating Factor by Inspection. Show Complete Solution. y^2 ( 1 − x^2 ) dx + x ( x^2y…

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Q: 1₁ 4 tan x sec x dx I

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Q: evaluate using Integration by Parts as a first step.

A: Given integral is Integrating by parts, we have Therefore, we have

Q: 2/ Reversing the order of integration fxsinydydx.

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Q: (0.52)* ) 1 1+x²

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Q: 12. [ xv2 − xdx x√2

A: ∫x2-xdx

Q: 7. S Ve2x – 1dx

A: Topic= Integration

Q: У (8х — 9у)dx + 2x (х — Зу)dy %3D 0 а. 2x4у — Зху? — С b. 2x*y – 3x²y? = C c. 2x*y³ – 3xy² = C d.…

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Q: 1. SIn(x2 + 1) dx

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Q: xye* - y?e*? у (2х2 — ху + 1)dx + (х — у)dу %3D 0 - a. xye** – y²e** = C b.xye** – 2y²e* = C C.…

A: It is some time  difficult to find integrating factor by inspection, some manipulation and…

Q: 2. S x³e3x dx

A: Integration by-parts:   Consider the two function u(x)  and  v(x). Then: ∫u v  dx=u ∫v dx-∫dudx·∫v…

Q: find area, y=2x , y=3-x2  (0,1)

A: Area is a 2-dimensional quantity which is the measure of amount of space covered by any shape in a…

Q: Find the area bounded by y=-x+1, y = −2x+2, x=-2, and y=2 A) 1/3 B) 16/3 C None of these (D) 4/3 E 5

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Q: 4. y(x³y³ + 2x² – y)dx + x³(xy³ – 2)dy = 0; when x = 1, y = 1 5. (2у — Зx)dx + xdy 3D 0 .3,,3

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Q: y³ Vy² + 4 dy Let u = y? 2

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Q: 3. S tan-1 Vx dx

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