In Exercises 1−16, make the given substitutions to evaluate the indefinite
1.
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- Find the indefinite integral. -6w ſe " sin2w dw 3sin2w+cos2w-ów 20 sin2w- 3cos2w +C 20 -sin2w- 3cos2w + C 20 -3sin2w-cos2w-ów +C 20 O O O Oarrow_forwardEvaluate +1+ x2 dx. (1+ x²)² Hint: Write this as two "easy" integrals. You do not need u-substitution or integration by-parts. 1arrow_forwardEvaluate the following definite and indefinite integrals. V6 (a) da V3+1 (b) / da V3 – r2 (c) x* +x + 18 dr Your final answer can be a decimal rounded to 2 decimal places. r(3+ x2) (6x + 2x*) sec (3+ x²) dx Hint: Do some factoring first.arrow_forward
- 13. Use the FTC Part 2 (NOT the definition!) to evaluate the definite integral. Give your answer in exact form, r3 2x3+x-1 dx 13. x2arrow_forwardSolve without a calculator!!arrow_forwardEvaluate the following integral. 1 dx (x² + 16)² t arctan()) +C (B)긁(2116 + arctan(주)) + C x + 16 (C)를(216+1 arctan())+C (D)능(2 16+ arctan() + 32 + + arctan()) +C (D) 2+ 16 + C (E) 16T+16 + arctan()) +C (F) + c arctan( x + 16 16 (G)(군16+arctan 들) +C (H)를(16+ barctan( ) +C x2 +÷ arctan(수)) + C(H) + 16 금 arctan( 주 )) + C x + 16arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage