3. For large N and n, g(N,n) 2N 1 -exp √ (1) CXP(- (157). Calculate (s) and (²) using the integrals. Here s=n-(n).
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- Prove the conjecture made in the previous exercise.Why can we pull the 2 out front and change the bounds of the integral from -2 to 2 to 0 to 2 instead?Compute 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 approximation
- Compute the approximation of the integral -4 to 4 e^(-x^2) using the trapezoid rule with n=4; you do not need to simplify fully or find the decimal approximationfind the integral from bounds 3 to 8 x/3x^2-9 dx WITHOUT using u substitution or anything similarUse Simpson’s Rule with n=4 to approximate the integral 8∫0√xdx.
- 1. Use the Table of Integrals in the back of your textbook to evaluate ∫11dx/x^2√16x^2+36 a.Perform the substitution uCalculate the indefinite integral: ∫ (9t−2/3 + 4t7/3) dtCompute 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 approximation
