729 dx "Son √x - √√x" 64 Using Rationalizing Substitution a=2, b=3 a=8,b=27 a=64, b=729 a=4, b=9 = f(y)dy, find the new limits of integration. a

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A: We need to evaluate the following integration ∫x2dx Formula Used : ∫xndx = xn+1n+1

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A: put put x2-9=sin2t⇒2x dx=2 sin t cos t dtNow∫x (x2-9) dx=∫sin2t [sin t cos t dt]=∫sin2t. cos t .dt…

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A: To evaluate the given integral.

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A: Given: prove that π=4∫0111+x2dx  for proving this we will solve right hand side  we know that…

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Q: [3-v5 (2v7 dx sin(2x)

A: According to the definition, if dFdx=f(x), then ∫f(x)dx=F(x). The function f(x) is called the…

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Q: How do you integrate In = ∫yne5ydy ?

A: The objective of this question is to find the integral of the function I_n = ∫y^n * e^(5y) dy. This…

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A: Given:∫x3x2+1dxsubstitute u=x2+1 ,x2=u-1              dudx=2x   (we know that dxndx=nxn-1)…

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A: Solution: The objective is to find the general solution of the given differential equation

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Q: 0 5 X 31x² - 32 do

A: Given, ∫01x31x2-325dx The given integral is solved using substitution method.