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Calculus of a Single Variable
- Direction: Using Riemann's Sum, find the integral of the following functions: 1.) √²(2x² - 5x + 1) dx 2.) √(x³- 2x + 1) dx 3.) f 2x³ dxarrow_forward2 -dx 1+ 4x2 2 Evaluate the definite integral:arrow_forwardConcept Check: Evaluate the following integrals: 1. f(x¹ - 5x³+6) dx dv 2./-(1-3)* do 3. fz¹ √/325-5dzarrow_forward
- Integral of cos2 Ө Evaluatearrow_forwarddx is: value of the integral sinx the Using Simpson's rule 113,arrow_forwardEvaluate the integral using the Fundamental Theorem of Calculus, Part I. | (10x° + 25x'5) dx -2 (Express numbers in exact form. Use symbolic notation and fractions where needed.) | (10x + 25x5) dx = -2arrow_forward
- Question Evaluate the definite integral (3et, 15t4) dt.arrow_forwardIntegration Worksheet (1) Find the value of the following integrals: (a) √ √ - x3 x4x3 + sin(x) dx (b) / 2³ - √ dr Ꮖ d.xarrow_forwardEvaluate the definite integral 2x dx in two -3 different ways: (2a) as a net area. Sketch the function and shade the necessary regions. (2b) using Part 2 of the Fundamental Theorem of Calculus (also known as the Evaluation Theorem).arrow_forward
- Let f be a function such that xf „2 - 2) dx = 12. Write an 3 -6 equation that can be inferred involving the integral of the function f (u). a = f(u) du Submit Answer attempt 1 out of 2arrow_forwardEvaluating line integral, can u add explanation to question solutionarrow_forwardusing the substitution formula to evaluate the integralarrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,