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$\int x\cdot x^{-161}dx$
Learn how to solve differential calculus problems step by step online. Find the integral of xx^(-161). Find the integral. When multiplying exponents with same base you can add the exponents: x\cdot x^{-161}. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as -160. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.