Q1: a)Evaluate the following Integration: (x-3)3 (x²-9) s dx

Q: Q2.Use Triangular method of integration, find the integral f dx. √√x²-9 5x4

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Q: Use integration by parts to solve for J x secx tanx dx.

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Q: evaluate using Integration by Parts.

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Q: Evaluate using integration by parts: fx sec-¹x dx

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Q: S(1 - In =) 1 dx x2

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Q: S sec x dx Use Integration by parts to solve

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Q: Evaluate with the order of integration reversed..... 4 11: x dx dy

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Q: Evaluate the integral 6. dx x2 V16x2 – 9 | Note: Use an upper-case "C" for the constant of…

A: Solve the given integral

Q: 4) Use integration by parts to find f x² In 5x dx

A: As per our guidelines we need to solve only one question.please, repost the remaining questions as…

Q: lo calculate S dx 3x2 - 2 integration by parts is the best integration technique to use. True False

A: The given question contains an integral that we have to solve . The question consists of terms of x…

Q: (b) Use Integration by parts to show that ·4 In x ~dx= =-+2ln.x) +C

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Q: 2+x a) S dx x²+9

A: Given: I=∫2+xx2+9dx For evaluating given integral, first we separate terms then integrate it

Q: Q3) Reversing the order of integration 2 y² sinxy dy dx

A: Explanation of the solution is given below...

Q: (4) Find the integration by applying (by part method) Sin-¹y dy

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Q: 3. Use properties of integration to evaluate S, x³Vx* + 5dx. If necessary, round your answer to four…

A: Given : ∫12x3x4+5dx   The Answer:   13.5895

Q: Find the integration by using substitution method. 2 dx x² - 6x + 10

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Q: S(x + e*)²dx

A: Solution of question is written in below steps. Note: (a + b)2 = a2 + b2 + 2ab

Q: Integrate using an appropriate integration technique. c) ⌠ [2,−2] dx/4 + x2

A: Given query is to find value of  the integral.

Q: Q3] Use the trapezoidal rule of integration to determine the value of S, xlnx dx with h = 0.1, work…

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Q: Let u = x3 + 1. Indicate how the limits of integration should be adjusted in order to perform the…

A: Given

Q: 2: Change the order of integration. •ln 4 f(u, у)dydx.

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Q: х — 3 dx а? — 8х + 7

A: We have to solve

Q: Evaluate with the order of integration reversed..... -√4-y x dx dy

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Q: Evaluate the integral. (Use C for the constant of integration.) 17xe2x dx (1 + 2x)?

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Q: O Integrate In 2x dx by using integration by part.

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Q: The task is to evaluate the function using reversed order of integration. •1 eee-x dx dy 1 Jlny

A: Given

Q: JECT tinoM Use integration bu ax e cosbx dx

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Q: 11.f (4x+5) dx √1-2x

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Q: d) Evaluate using integration by parts: [(x+2)ln x dx

A: Integration by parts rule:

Q: Find the integration by using substitution method 2 dx x² - 6x + 10

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Q: Calculate the integration y+1 dydx

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Q: Integrate f dx using integration by parts. x+1

A: Please refer the attached image for complete solution.

Q: sec? (4x)(3 – tan(4x))³dx

A: Given integral is,  ∫sec24x3-tan4x3dx. Substitute t=3-tan4x.…

Q: 5xt AK fue?

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Q: what is the simplification of this integration? ∫dx/(2sinx+3cosx-5)

A: Use sin(x) = 2 tan(x/2) / (1 + tan2(x/2)) cos(x) = (1 - tan2(x/2)) / (1 + tan2(x/2))

Q: t of integration.) dx 5 + v2x

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Q: Find the antiderivative using the table of integration formulas. dx 2 324 - x

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Q: Find S x cos x dx by using integration by parts.

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Q: S S.(x + y)dxdy by reversing the order of integration.

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Q: Evaluate the integral. (Use C for the constant of integration.) x² - 36 dx v3

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Q: Use integration by parts to show that [x²³e³x² dx = 1 50 est (5x² −1)+c

A: ∫x3e5x2dxSubstitute u=x2→dudx=2x→dx=12xdu=12∫ue5uduIntegrate by parts:∫fg'=fg-∫f'gLet f=u and…

Q: evaluate using Integration by Parts.

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Q: 2 с4 - Si Se-*-2Y dydx 2х

A: Here we have to the double integral value      ∫02∫2x4 e-x-2y dy dx .

Q: a) Evaluate 1| dx by using integration by parts.

A: Dear learner, as per our guidelines we can provide the solution for first one only. Kindly post…

Q: 7. f sec5 2 t dt

A: We can solve the integration as below

Q: Solve the integration by parts | (x² – 2)cosh(x) dx .

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Q: 3. Use integration by parts to evaluate (x²+x+1) sin(r) dr.

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Q: 24) Find the integration by applying (by part method) Sin ¹y dy

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Q: O Use integration by part ax Cosbx dx

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Q: 4) First make a substitution and then use integration by parts to evaluate the integral. (Use C for…

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