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Calculus: Early Transcendentals (2nd Edition)
- Learnáng Acthvity 2. Evaluate the following integrals. Write your answer and solution on a sheet of yellow paper. 1. -3-'dx 2. S(5e" - 6")dz 3. S cot zdx 4. S(2 - csc ? x)dx 5. S1+ sec ? x drarrow_forwardPowers of sine or cosine Evaluate the following integrals.a. ∫cos5 x dx b. ∫sin4 x dxarrow_forward(-2 2x+1 x < 2 Sketch the graph function f (x) = and then evaluate L„f(x). x 2 %3D 不y TT Evaluate the integral. Write answer in exact form. cot 0 csc ed0. TC 6.arrow_forward
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- Write and evaluate the definite integral that represents the area of the surface generated by revolving the curve on the indicated interval about the x-axis. y = V 49 – x2, -5 < x 5 5 dx -5 Submit Answerarrow_forwardIf you do not know what substitution to make, try reducing the integral step by step, using a trial substitution to simplify the integral a bit and then another to simplify it some more. Evaluate the following integral using the given substitutions. Complete parts (a) through (c). ( 18 tan x sec -dx 2x (2+ tan x)2 (b) Use u= tan °x, followed by v = 2 + u. Choose the correct answer below. 18 tan 2x sec 2x dx = 6 O A. + C 3x (2+ tan 2+ tan O B. 18 tan2x sec 2, 3..)2 (2+ tan °x) 6 + C 2+ tan 3x 18 tan x sec 2, 2, OC. + tan 3x)2 + C tan x OD. 18 tan ²x sec 2x dx = 6 (2+ tan 3x)2 + C 3+ tan 2xarrow_forwardDirections: Use the Trapezoidal Rule to approximate the following definite integral using n = 3. Use six decimal places in your answer (if applicable). 2 ² 1/2 de x dx ≈arrow_forward
- -dx = Blank 1 1+ 8x Evaluate the Definite Integralarrow_forwardDirections: Use the Trapezoidal Rule to approximate the following definite integral using n = : 4. Use six decimal places in your answer (if applicable). 2 So ² (20- (x − 1)² dx ≈arrow_forwardDirections: Calculate the following indefinite integral (make sure you include +C as part of your answer). feª (1 + e*)³ dx = 0arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage