Preliminary steps The following
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- If 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_forwardComplete the table to find the indefinite integral. (Use C for the constant of integration.) Original Integral Rewrite Integrate Simplify V dx + Carrow_forward3sinnt dx 4. a + cosntarrow_forward
- Complete the table to find the indefinite integral. (Use C for the constant of integration.) Original Intergal in picture It needs me to rewrite, intergrate, then simplifyarrow_forwardUse the Change of Variables Formula to evaluate the definite integral. 4 dx V5x + 3 (Use symbolic notation and fractions where needed.) 4 dx = V5x +arrow_forwardDirections: Calculate the following indefinite integral (make sure you include +C as part of your answer). |(6002 + 12x + 3)²(x + 1) dx · =arrow_forward
- Directions: Calculate the following definite integral. Use the substitution rule or integration by parts, if necessary. 1 [² x√2-x² dx = 0arrow_forwardsin x dx. 1. Describe the technique used to evaluatearrow_forwardFind the tangent of ZX. 48 Y 55 73 W Simplify your answer and write it as a proper fraction, improper fraction, or whole number. tan (X) =arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage