Integrate $\int t\sqrt{2t^2+3}dt$

Got another answer? Verify it here!

Learn how to solve integrals with radicals problems step by step online.

$\int t\sqrt{2\left(t^2+\frac{3}{2}\right)}dt$

Learn how to solve integrals with radicals problems step by step online. Integrate int(t(2t^2+3)^1/2)dt. 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\sqrt{2}t\sqrt{t^2+\frac{3}{2}}dt by applying integration method of trigonometric substitution using the substitution. Now, in order to rewrite d\theta in terms of dt, we need to find the derivative of t. We need to calculate dt, we can do that by deriving the equation above.