Chapter 8.5, Problem 1QR

4. 1-r What is the result of making the substitutionu = 2- 2x + x2 in the integral 2- 2r +2 du A. -du B. du C. 2u -du D. 2u E. None of the above F. This is not a suitable substitution for this integral

Use geometry (i.e., areas of triangles, rectangles, and circles) to find the exact values of each of the definite integrals in Exercises 21-28. (2 – x) dx | 0(4x – 3) dx 21. 22. 23. 24 dx 24. |3х + 1| dx | V1-x² dx Vr2 – x² dx 25. 26. -1

Evaluate the definite integral two ways: first by a u-substitution in the definite integral and then by a u-substitution in the corresponding indefinite integral. (2x – 8)'dx = 2

оне dx 2 X√1+Lu² (x²) Secx sin 3x d x ۱/۱ ✓ で [H T =T TH ☑ M

the exercise is in the attached image

Evaluate the integral sec(theta)/sec(theta)-tan(theta) d(theta) A. sec2(theta) - tan(theta) + CB. tan(theta) + sec(theta) + CC. tan2(theta) + sec(theta) + C D. tan (theta) - sec(theta) +C please let me know if you need a picture. I wish i was able to format the integral better here.  sec(x)/sec(x)-tan(x) dx (this is to help if you don't understand the theta input)

Evaluate , ² dx. using the definition of the definite integral. Check your work using the Fundamental Theorem of Calculus. Please select file(s) Select file(s)

convert the indefinite integral into definate integral using the interval [0,1]

I’m trying to find the indefinite integral using u substitution. How do I get du in the above equation?