For the definite integral, do the following. 3 /xzdx 1 (a) Approximate the integral "by hand," using trapezoidal approximation with n = 4 trapezoids. Round calculations to three decimal places. I (b) Evaluate the integral exactly using antiderivatives, rounding to three decimal places. 1 (c) Find the actual error (the absolute value of the difference between the actual value and the approximation). (Round your answer to three decimal places.) 1 (d) (d) Find the relative error (the actual error divided by the actual value, expressed as a percent). (Round to the nearest percent.) For the definite integral, do the following. 4 /idx b X (a) Approximate it "by hand," using trapezoidal approximation with n = 4 trapezoids. Round calculations to three decimal places. (b) Evaluate the integral exactly using antiderivatives, rounding to three decimal places. I (c) Find the actual error (the difference between the actual value and the approximation). (Round your answer to three decimal places.) I (d) Find the relative error (the actual error divided by the actual value, expressed as a percent). (Round your answer to one decimal place.) Approximate the integral using trapezoidal approximation "by hand" with the given value of n. Round all calculations to three decimal places. 1 / 4+ x2dx,n=3 o A graphing calculator is recommended. In recent decades, world consumption of cil has been running at the rate of f{x) = \\/ 12 + 0.025x2 billion tons per year, where x is the number of years since 2000. The total amount of oil consumed from 2010 to 20 2020 is then given by the 'mtegra\\f v/ 12 + 0.025x2 dx. Estimate this amount by approximating the integral using trapezoidal approximation with n = 10 trapezoids.T (Round your answer to the nearest 10 billion.) l: billion tons A graphing calculator is recommended An investment grows at a rate of 2 9eVt thousand dollars per year, where t is the number of years since the beginning of the investment. Use a graphing calculator trapezoidal approximation program from the Internet (see here) to estimate the total growth (in thousands of dollars) of the investment during the first 3 years (year 0 to year 3). Use successively higher values of i until answers agree to two decimal places (rounded). : thousand dollars Approximate the integral using trapezoidal approximation "by hand" with the given value of n. (Round all calculations to three decimal places.) 1 2 / 7e dx, n=4 Ja Approximate the integral using trapezoidal approximation "by hand" with the given value of n. (Round all calculations to three decimal places. V 3 + x3 dx, n = 3 lo