Questions tagged 'Integration'
6 questions
Integration problem. I think i am right, please assist!?
Title: Integration Problem - Please Assist with My Solution Body: I would appreciate your help in reviewing my solution to the following problem. Question: Evaluate the integral ∫ (x – 2/x²)(x + 2/x²...
Jan 04, 2025
Evaluate the integral, where R is the triangle with vertices at….?
Evaluate the integral over the region ( R ), which is the triangle with vertices at (-8, 0), (0, 8), and (8, 0). The integral is given by: [ R \int (2x + y)^2 \, dA ] Please provide the exact answer i...
Find the centroid for an area defined by the equations: y=2x+4 and y=((2x-3)^2)+1?
I am looking to find the centroid of an area defined by the equations ( y = 2x + 4 ) and ( y = (2x - 3)^2 + 1 ). I need to use integration for this calculation. Thank you for your help!
how do u integrate sinxcosx?!?!?
How do you integrate sin(x)cos(x)?
What is the antiderivative of f(x)=sinxcosx?
What is the antiderivative of the function ( f(x) = \sin(x) \cos(x) )? Additionally, could you provide a brief explanation of the steps involved in finding this antiderivative?
Integration problem. I think i am right, please assist!?
Please let me know if I got this right. Thank you! Question: ∫ (x – 2/x^2)(x + 2/x^2) Attempt at Answer: ∫ (x – 2x^-2)(x + 2x^-2) = ∫ (x – 4x^-4) = x^3/3 – 4x^-3/-4 I used the formula (x^n + 1)/(n +...