Consider the following integral: In(1 + x¹)dx In(1 A. When we first learned how to integrate / In(x) da we used the IBP technique. As far as you are able, please use the IBP technique to integrate In(1 + x4)dx. In B. Why did the IBP fail here? C. Without using a table of Maclaurin Series, represent f(x) = ln(1+x4) as a power series and find the IOC. D. Without using a table of integrals, please use the series you found 4 above to calculate / In(1 + x²)dx.

Approximate 0.5 the integral with an error less than 0.0001 using power series 5x³ tan-¹(2x) dx. You have to determine how many terms of the expansion must be taken to get the desired error.

cos tdt is used in the analysis of beam displacements (and in optics). Evaluate this integral for x = 0.9 by using two terms of the appropriate series. 0 COS st2dt for x=0.9 is approximately equal to 0 (Type an integer or a decimal.) de The integeral

Evaluate by series approximation

solve for part b and do work on a separate sheet of paper

i need the answer quickly

Evaluate by series approximation

Please solution speed

Prove the following equation : Cosh(3 x) = 4 cosh³(x) – 3cosh(x) %3D

Par C Of the attach question pls