Calculus= Integrate 5^x dx please break down how answer is 1/6x^6+C

Step-by-step explanation:

Note that the integral of is not

The solution is as follows:

Given

Required

Integrate

Represent the given expression using integral notation

This question can't be solved directly;

We'll make use of exponential rules which states;

By comparing with ;

we can substitute 5 for a;

Hence, the expression becomes

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However, the integral of is

This is shown below:

Given that

Applying power rule;

Power rule states that

In this case (), n = 5;

So,

becomes

explanation:

step-by-step explanation: