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$\int x\left(x^2+3\right)^{-\frac{1121}{7}}dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(x(x^2+3)^(-1121/7))dx. Simplifying. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Multiplying the fraction by x. We can solve the integral \int\frac{x}{\sqrt[7]{\left(x^2+3\right)^{1121}}}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that x^2+3 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.