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$\int\frac{1\sqrt{\left(2x^2+7\right)^{3}}}{2}dx$
Learn how to solve definite integrals problems step by step online. Find the integral int(((2x^2+7)^(3/2)1)/2)dx. Simplifying. First, factor the terms inside the radical by 2 for an easier handling. Taking the constant out of the radical. We can solve the integral \int\frac{2\sqrt{2}\sqrt{\left(x^2+\frac{7}{2}\right)^{3}}}{2}dx by applying integration method of trigonometric substitution using the substitution.