Final answer to the problem
Step-by-step Solution
Specify the solving method
The integral of a function times a constant ($400$) is equal to the constant times the integral of the function
Learn how to solve integral calculus problems step by step online.
$400\int\left(1+\frac{2t}{24+t^2}\right)dt$
Learn how to solve integral calculus problems step by step online. Find the integral int(400(1+(2t)/(24+t^2)))dt. The integral of a function times a constant (400) is equal to the constant times the integral of the function. Simplify the expression inside the integral. We can solve the integral 800\int\frac{t}{24+t^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.