Final Answer
Step-by-step Solution
Specify the solving method
First, factor the terms inside the radical by $121$ for an easier handling
Learn how to solve integral calculus problems step by step online.
$\int\left(121\left(-t^2+\frac{1}{121}\right)\right)^2dt$
Learn how to solve integral calculus problems step by step online. Find the integral int((-121t^2+1)^2)dt. First, factor the terms inside the radical by 121 for an easier handling. Taking the constant out of the radical. We can solve the integral \int14641\left(-t^2+\frac{1}{121}\right)^2dt 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.