1. Evaluate the following. | (x – 2) V4- x dx (antiderivative) А.

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A: Concept: Integration: The Sum of discrete data is denoted by Integration. The integral is calculated…

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Q: Use appropriate technique of integration to compute the antiderivative

A: Put,

Q: Write the general antiderivative. (Use C for the constant of integration.) x2+1 dx 5x Need Help?…

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Q: Use integration by parts to evaluate  ∫x ln x dx with u = ln x and dv = x dx.

A: The given integral is ∫xlnxdx u=lnx and  dv=xdx   formula used: ∫udv=uv-∫vdu

Q: Find each antiderivative using integration by parts. Do not consult Table 1. 3x dx 3 In x* dx 17.…

A: As per guidelines, we are supposed to solve only first question. Please repost other questions…

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A: To integrate using tabular form.

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A: According to the power rule the integral of a function f(x)=xn is given by: ∫xn dx=xn+1n+1+c…

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: Consider the following integral: ∫2ex-3e-2xdx=2∫exdx-3∫e-2xdx=2ex-3∫e-2xdx Consider the following…

Q: Find the most general antiderivative. 2 7 dx X+1

A: By using integration formula, we calculate the given integral.

Q: Q2 Integrate by parts: ex sin x dx

A: find ∫exsinxdx we know, ∫u.vdx=u∫vdx-∫dudx∫vdx now, apply this on equation I=∫exsinxdx…

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A: Given:  I=∫dx(x+2)x+11 Use the substitution method to evaluate the integration. substitute…

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A: In general, the integral of a real valued function f(x) with respect to a real variable x on an…

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A: Integration is summation of discrete data. The integral is calculated for the functions to find…

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A: EVALUATE USING INTEGRATION BY PARTS  For the function x2e4x .

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Q: What is the antiderivative of  (2 + x^2)/x^3 ?

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Q: TO Show Jv - x-V そーレ V+ dx

A: Jvx = ∑m=0∞ -1mx22m+vm! m+v!

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Q: 2х + 1 dx x2 + x

A: Concept : ∫1tdt =ln(t) +c ,where c is constant ; d(xm)dx= m.xm-1 ∫2x+1x2+xdx =? here we can solve…

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Q: (2x + 1) (x + 4) (x – 3) dx (antiderivative) (x – 2)°(x + 3)³ -

A: According to the definition of antiderivative if dFdx=f(x), then ∫f(x)dx=F(x)+C, where the function…

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Q: Find the most general antiderivative. dx

A: Given,           ∫1x5-x5-13dxTo find : The antiderivative of the given function.

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Q: ich option is an antiderivative of Sar 3x cos(-2x) dx a. 3 9.

A: We will use integration by parts to find the answer.

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A: The given integral,        ∫sinhx-1coshxdx

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Q: 3 3 У(х'у + 2х — у)dx + x (ху — 2) dy 3D 0 3

A: Firstly we find Integrating factor, then find general solution.