Evaluate the indefinite integral. (Use theta for Į.)
�ç(8ƒÆ + cos(7ƒÆ))dƒÆ
Ans: blank + C
C is constant. How do I evaluate it?
To evaluate the indefinite integral �ç(8θ + cos(7θ))dθ, you need to integrate each term separately. The integral of 8θ with respect to θ is (4θ^2), and the integral of cos(7θ) with respect to θ is (1/7)sin(7θ).
So, the indefinite integral becomes:
(4θ^2) + (1/7)sin(7θ) + C
Here, C represents the constant of integration, which is added because indefinite integration does not provide a unique solution.
To evaluate the constant C, you would need additional information, such as a specific value or boundary conditions for the function you are integrating. Without any additional information, the constant remains unspecified and is typically written as + C in the answer.