Find the indefinite integral.

{eq}\displaystyle \int (7 + e^x) dx {/eq}


Find the indefinite integral.

{eq}\displaystyle \int (7 + e^x) dx {/eq}

Exponential Rule:

The method that gives us the rule for evaluating the integral of an exponential function is known as the exponential rule. In this method, one more than the power of function becomes the denominator of the function and the new power of the becomes one more than the original power. The exponential rule is given below

$$\int x^{n}\text{ d}x=\dfrac{1}{n+1}x^{n+1} $$

Answer and Explanation: 1

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$$\begin{align} I&=\int(7+e^{x})\text{ d}x\\[0.3cm] I&=\int7\text{ d}x+\int e^{x}\text{ d}x & \left[\because \int(u\pm v)\text{ d}x=\int...

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How to Compute Derivatives


Chapter 20 / Lesson 1

Understand what derivative calculus is and how to find the derivative of a function. Learn the derivative rules, and practice taking derivatives by following examples.

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