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- Decide whether you can find each integral using the formulas and techniques you have studied so far. Explain. (a) ∫2dx / √(x2 + 4) (b) ∫dx/x√(x2 − 9)arrow_forwardshow the stepsarrow_forwardAgree or disagree with the statement: the integral 十3 dx can be x²+16 computed by 4 different methods. If you agree, state which methods. If you disagree, explain (with mathematical reasons) why you disagree.arrow_forward
- A thick cable, 60 ft long and weighing 180 lb., hangs from a winch on a crane. Set-up the integral for the word done if the winch winds up 25 ft of the cable. (choose the correct answer) a. .625 180dx b. (180-x)dx -25 c ²5 (180 - 3x) dx -25 d. f5 180x dxarrow_forwardᴡʜᴀᴛ ɪꜱ ᴛʜᴇ ᴘᴇʀɪᴏᴅ ᴏꜰ ᴛʜᴇ ꜰᴜɴᴄᴛɪᴏɴ ꜰ(x) = ₄ᴄᴏꜱ ₂π(x + ₃)?ᴀ. ₁ʙ. π ᴄ. x + ₂ᴅ. ₂πarrow_forwardrefer to f -3)dx x-2 The given indefinite integral can be solved by Algebraic Manipulation, using division of polynomials, what will be the quotient and the remainder?arrow_forward
- Can you please answer this question using trig substitutionarrow_forwardHow do i do this?arrow_forwardA thick cable, 60 ft long and weighing 180 lb, hangs from a winch on a crane. Set-up the integral for the work done if the winch winds up 25 ft of the cable. 25 180 dx 180xdx (180-x)dx (180-3x) dx 0 25 25 25arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage