Evaluate the integrals in Exercises 23–32. -2п IT 1 – cos x dx 2 V1 – cos 2x dx 23. 24. VI - sin? i di | VI - cos² 0 do – c 25. 26. -п/6 sin? x V1 + sin x dx 27. dx 28. – cos x 7/3 Vĩ 1 – sin x V1 – sin x Hint: Multiply by -Зп/4 cos“ x Vi - sin 2x dx 29. dx 30. Jszls Vī – sin x T/2 • TT/2 cos? t)3/2 dt ovi – cos 20 do 32. 31.

Q: Given 2 sinB + sug -1=0 Find

A: Given: 2sin2β+sinβ-1=0

Q: Use an appropriate substitution to integrate 2. A sin u +c 12r'sin (x?– 2) +c © 12sin (x2- 2) +c…

A: To evaluate the given integral.

Q: Integrate the function. 16x +즐 + C V16 -2 8 sin 1 +C 2 V16-2 +C + 16V16 - x2 8x - W16-2 +C

A:

Q: 3 + cos 3x dx Evaluate sin 3x

A:

Q: Verify: 1. (sinx – cosx)² – 1 = -sin2x %3D

A: We can verify the statement as below