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- Find F'(x), where F(x)= int. of ((t^2)+1)dt, from sin(3x) to x=-4. Use the 1st rule of the fundamental theorem of calulus and leibniz rule.Integrate sin 6y sec 3y dy from limit 0 to πHow can I solve this integral if R is the solid bounded by z=3x, z=x^2, y=0, and y=2? How do I write the bounds and the function?
- Compute the approximation of the integral -4 to 4 e^(-x^2) using right endpoints with 4 rectangles; you do not need to simplify fully or fine the decimal approximationCompute the approximation of the integral -4 to 4 e^(-x^2) using mid points with 4 rectangles, you do not need to simplify or find the decimal approximationUse Simpson rule’ 1/3 Method with (n = 8) to estimate the integral: f(x) = 5x*((13x - x²)³)½ , where a= 0.5 & b= 3.5: Give answer with (3) decimals places. *