**Power Rule - Formula, Proof, Applications | Power Rule …**
https://www.cuemath.com/calculus/power-rule/

The power rule in integration is used to find the integral of expressions of the form xn, where n is a real number and n ≠ -1. The formula for integration power rule is given by, ∫xn dx = xn+1/(n + 1) + C, where n ≠ -1. Let us consider a few examples of this formula to understand this rule better. 1. ∫x7 dx = x7+1/(7+1) + C = x8/8 + C 1.1… Using the principle of mathematical induction, we will prove the formula d(xn)/dx = nxn-1 for positive integral values of n. Here our statement is P(n): d(xn)/dx = nxn-1. First, we will prove this for n = 1. Then, assume P(n) to be true for n = k, we will prove it for n = k+1. Step 1: Assume n …

The power rule in integration is used** to find the integral of expressions of the form xn, where n is a real number and n ≠ -1.** The formula for integration power rule is given by, ∫xn dx = xn+1/(n + 1) + C, where n ≠ -1. Let us consider a few examples of this formula to understand this rule better. 1. ∫x7 dx = x7+1/(7+1) + C = x8/8 + C 1.1…

Using the principle of mathematical induction, we will prove the formula d(xn)/dx = nxn-1 for positive integral values of n. Here our statement is P(n): d(xn)/dx = nxn-1. First, we will prove this for n = 1. Then, assume P(n) to be true for n = k, we will prove it for n = k+1. Step 1: Assume n …

**DA:** 35 **PA:** 61 **MOZ Rank:** 17