Evaluate the integral , dx 1+ e* using the substitution u = 1+ e". %3D et dx 1+ e"

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A: We have to evaluate the integral: ∫x4+5x2dx Assuming, t=4+5xx=t-45 Differentiating,…

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A: ∫01x+1exdx = ∫01(xex + ex)dx = ∫01xexdx + ∫01exdx ∫ex = ex + c Therefore, ∫01exdx = e -1

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A: To evaluate the given integral by using integration by parts.∫0π2 x2 cos x dx

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A: Given integral is as below:

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A: Solution:

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A: From the given problem:   I=∫141+lnx3xdx...1   Substitute in equation (1).   1+lnx=u...Differentiate…

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A: topic - integration by parts

Q: Calculate the integral π∫−πDN(z)dz.

A: Given Data The integral is:  πꭍ-πDN(z)dz.   Compute the integral πꭍ-πDN(z)dz, Here C is constant.…

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A: Consider the given integral as ∫01exex+4dx

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Q: 28. e cos 2x dx ,3x

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A: Given, I= ∫x²/√(x²+18) dx

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Q: 1. Evaluate the integral by reversing the order of integration. re dy dr.

A: we only solve one question at a time. Please send these questions separately which you want to be…

Q: Evaluate the integral by reversing the order of integration. '3 27 7e* dx dy

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Q: |x?(cosx) dx ; п3D6

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Q: Calculate the integral by interchanging the order of integration. 16, dy ) dx 1

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