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The integral of a constant times a function is equal to the constant multiplied by the integral of the function
Learn how to solve definite integrals problems step by step online.
$2\int_{0}^{2}\sqrt[3]{x^2+1}xdx$
Learn how to solve definite integrals problems step by step online. Integrate the function (x^2+1)^1/32x from 0 to 2. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. We can solve the integral \int\sqrt[3]{x^2+1}xdx by applying integration method of trigonometric substitution using the substitution. Now, in order to rewrite d\theta in terms of dx, we need to find the derivative of x. We need to calculate dx, we can do that by deriving the equation above. Substituting in the original integral, we get.