1.

Write a value of ∫ e3logx x4 dx.

Answer»

Consider ∫ e3 logx x4

e3 logx = \(e^{log\,x^3}\)

= x3 

∫ e3 logx x4 

= ∫ x3x4dx 

= ∫ x7 dx

= \(\frac{x^8}{8}\) + c



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