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- 2. Find the following definite and indefinite integrals. O Parts a, b, and c: For the indefinite integrals, you do not need to simplify your final O a. answer. Parts d and e: For the definite integrals, simplify your answer and write your answer in exact form. Do not use a calculator. [(x-3 + 5x5/2+√3)dx [(-e² +13) dx d. e. (²2-√x) dx (ex - x)dx L² (2x - J-3 (2x - 1)dx Oarrow_forwardfind an antiderivative for each function. Do as manyas you can mentally. Check your answers by differentiation. √x + 1/√xarrow_forwardHello, Please answer the following attached Calculus question correctly, and show all your work completely. Please make sure to write neatly and also box your answer. Thank you.arrow_forward
- Answer no. 21 and 22arrow_forwardHello. I got an answer from you just a little bit ago, but I am having trouble understanding the math from the trinomial to the final solution to my problem. I no longer need the previous steps explained, just this litte bit. Can you please help me? Thank you.arrow_forward3. Jay is doing his mathematics homework on the run. He managed to squeeze in one problem between lunch and his expository writing class. He used his calculator to find Ln, Rn, Tn, and M₁, to approx- imate a definite integral and jotted down the results on a napkin. The values of Ln, Rn, Tn, and M₁ were: 0.367617, 0.3211885, 0.341189, and 0.274760. He didn't write down the problem, nor did he record the value of na he used. But he did sketch the function (over the relevant interval) on the napkin; it looked like this. He wants your help in labeling the data he recorded as a left-hand sum, a right-hand sum, a midpoint sum, and a trapezoidal sum. Which is which? Explain your answer in complete English sentences.arrow_forward
- Please share the excel file or screenshot if possible. Thanksarrow_forwardSuppose you are standing at a distance, d, of 150 feet from a statue of heighth feet. h = d Ө Express the angle as a function of the height of the statue. There are several ways to express this, but some ways are not helpful in calculus. Do NOT use any expression that requires Pythagorean Theorem.arrow_forwardThe height of the cylinder is 4 inches. A. Find the inverse function to A(r). your answer should look like r = "some expression involving A" r(A) = Hints: to calculate an inverse function, you need to solve for r. here you could start with A=2(pi)r^2+8(pi)r. this equation is the same as 2(pi)r^2+8(pi)r-A = 0 where the variable x is r? you can solve for r using the quadratic formula even though the constant term c is a symbol here I am stuck, and cannot figure this out.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage