Evaluate the integral. 2 1 t3 t2 − 1 dt √2
Step 1 Since 2 1 t3 t2 − 1 dt √2 contains the expression t2 − 1, we will make the substitution t = sec(θ). With this, we get dt = $ 1 t3√t2−1 Incorrect: Your answer is incorrect. sec(theta)tan(theta) dθ.
Step 2 Using t = sec(θ), we can also say that t2 − 1 = sec2(θ) − Incorrect: Your answer is incorrect. = tan(θ).
There are a total of 12 steps to get the answer