Hi I just need help answering number 13, and 19 only thank you. Terms and Concepts25.dx1. Define the term "antiderivative" in your own words.x – 7xdx26.2. Is it more accurate to refer to "the" antiderivative of f(x)or "an" antiderivative of f(x)?5 -327.xp X +X3. Use your own words to define the indefinite integral of f(x).24. Fill in the blanks: "Inverse operations do the28.u° – 2u° – u +:7duthings in theorder."5. What is an "initial value problem"?29.+ 4)(2u + 1) du6. The derivative of a position function is afunc-30.+ 3t + 2) dttion.7. The antiderivative of an acceleration function is a1+ Vx+ x31.dxfunction.| sin' x+ cos? x dxProblems32.In Exercises 8-40, evaluate the given indefinite integral.33.2 + tan? 0 do8.3x dx34.sec t(sec t + tan t) dt1 - sin? tdtsin? t9.35.xp|(10 – 2) dxsin 2xdxsin x10.36.4 + 6udu37.11.dtVusin 0 + sin 0 tan? 0do12.dt38.sec239.2 +tdt13.dt| V + V* dx40.14.dx41. This problem investigates why Theorem 32 states that15.sec 09 dedx = In |x| + C.(a) What is the domain of y = In x?16.sin 0 de(b) Find (In x).17.(sec x tan x + cSc x cot x) dx(c) What is the domain of y = In(-x)?(d) Find (In(-x)).18.dt2(e) You should find that 1/x has two types of antideriva-tives, depending on whether x > 0 or x < 0. In|(2+ + 3)° dt20. ( + 3)(? – 21) dt19.one expression, give a formula fordx that takesthese different domains into account, and explainyour answer.In Exercises 42-52, find f(x) described by the given initial valueproblem.21.dx22.e* dx42. f'(x) = sin x and f(0) = 243. f'(x) = 5e* and f(0) = 1044. f'(x) = 4x³ – 3x and f(-1) = 945. f'(x) = sec² x and f(/4) = 523.dx4x° – 7dx24.46. f"(x) = 5 and f'(0) = 7, f(0) = 3227

Name: Hi I just need help answering number 13, and 19 only thank you. Terms
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Description: Hi I just need help answering number 13, and 19 only thank you. Terms and Concepts25.dx1. Define the term "antiderivative" in your own words.x – 7xdx26.2. Is it more accurate to refer to "the" antiderivative of f(x)or "an" antiderivative of f(x)?5 -3