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Trigonometric substitutions Evaluate the following
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Calculus: Early Transcendentals (3rd Edition)
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- Evaluate the integral below using trigonometric substitution.arrow_forwardUsing the definite integral, calculate the shaded areas between the curves and the x-axisarrow_forwardQ.10: Find the indefinite integral using trigonometric substitution. Show the substitution process and properly labelled triangle. Show the result in trigonometric form and algebraic form. 3 4x4-36arrow_forward
- Direction: Evaluate the following integrals using trigonometric substitution. Sketch and label the associated right triangle. SHOW YOUR PROPER SOLUTION! x2 1. S dx Vx2+9 1 2.S dx x2V25-x dx 3. S Vx2+16 4. ſ V1 – 4x²dxarrow_forwardsin3 x dx 7. Evaluate the integral:arrow_forwardWhat trig substitution is correct for : -dx 7 tan e 7 sine 49sin e 7 sece 49 tan e 49sece V49- . Write the integral in terms of e for f -dx using the answer you 4x chose in #5. DO not simplify. What is the value of the integral 49- dr in terms of 0? Use your answer from #6 to begin your work. What is the value of the integral (V49- x² dx in terms of x? Use your 4x result from #7 to answer this question. Use a right triangle or other means to show your work.arrow_forward
- dx x² +9 2. Use an appropriate trigonometric substitution to rewrite J as J(a simplified trig function of 0) d0. Carefully show your work with differentials and use of trig identities to help simplify. Then find the integral. Show any use of substitutions and reasoning with right triangles.arrow_forwardB. Learning Activities : FOLLOW THE RULES! Directions: evaluate the following integrals sinx 4. S -– cosx./cos?x-25 dx 5. Sdx secxarrow_forwardCan you show me every step it takes in using trigonometric substitution to evaluate this integral?arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
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