Man how didn't I see that! Thanks!romsofia said:Write the fraction as x^-4, and apply the power rule and you will quickly see why that is the answer!
The power rule of integration is a mathematical rule used to integrate functions with a variable raised to a power. It states that when integrating a function, the power of the variable is increased by 1 and then divided by the new power.
To apply the power rule of integration, you first increase the power of the variable by 1. Then, you divide the entire function by the new power. If the power is negative, you can rewrite the function as 1 over the variable raised to the positive power and then apply the power rule.
No, the power rule of integration can only be used for functions with a variable raised to a power. It cannot be used for functions with trigonometric, logarithmic, or exponential terms.
The power rule of integration is used to find the antiderivative of a function, while the power rule of differentiation is used to find the derivative of a function. The power rule of differentiation involves subtracting 1 from the power of the variable, while the power rule of integration involves adding 1 and dividing by the new power.
Yes, the power rule of integration can be combined with other integration rules, such as the constant multiple rule or the sum rule. It can also be used in conjunction with substitution, integration by parts, and other advanced integration techniques.