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How to integrate e2x?

Answer: Consider the given integral. I=∫e2xdx By applying the substitution method, we get u = 2x du = 2dx dx = du/2 Therefore, I =... View Article

Find derivative of xx.

Answer: Let us consider y = xx Applying log on both the side, log y = x log x Differentiate the above equation with respect to y, . . .... View Article

How to integrate ln x?

Answer: We will use integration by parts method to solve ∫ln(x)dx. ∫u dv = uv - ∫vdu Let u = ln(x) dv = dx ⇒ v = x ∫ln(x) dx = x ln(x) -... View Article