What is the antiderivative of e^ln(4)x?

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Homework Statement



what is the antiderivative of e^ln(4)x

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The Attempt at a Solution


Ok someone told me that the antiderivative of 4^x is e^ln(4)x. So what would be the antiderivative of e^ln(4)x? I need these antiderivatives in order to solve my homwork problems which require me to evaluate integrals. But my inability to find antiderivatives for all situations is preventing me from doing so. Any help would be very thankful to me.
 
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Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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