5. Simplify e3y + In y.

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A: Let's find. 

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A: Given ∫x2lnx dxu=lnx, dv=x2dxWe know that integration by can be found by∫v.u-∫v.du

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

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A: We will solve the problem using partial fraction. 

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A: We will find the upper sum approximation to the area of region R below y=2x in the interval [0,3] us...

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A: Integrate given function. 

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A: Solve the derivative of the function for given value

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Q: Let ft)=F(t), where F (t) = 412– 5t²+ 5t¸ Evaluate the following integral using the Fundamental Theo...

A: As we know from the fundamental theorem of calculus; If F't=ft then, ∫abftdt=Ftab=Fb-Fa   From the g...

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A: ∫xn dx = xn+1n+1+C ∫af(x) dx = a∫f(x) dx

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A: The given curves are: x2+y2-4y=0 y=4-x

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A: Given :1. x2-3.5x+1.8=02. y=x2x+1

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A: Here, to find the equation of the tangent line to the circle  x2+y2=52⇒x2+y2=25...(1) that passes th...

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Q: Find the most general antiderivative. dx x2 A 2- +C В с © -2.c (D 2

A: topic - anti derivative of  a function

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A: Given:   Data is given

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A: Two function are givenfx=x2gnx=1-1-xn     where n≥1.

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A: To find out the integration. 

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A: Explanation of the answer is as follows