a) S sin? x cos5 x dx

Q: Use the method of substitution to evaluate | 2x cos x² dx. sin x? + c – sin x? + c sin x? + c sin x-

A: We use substitution method

Q: sin r - cos z 2. 1+ sin(2r)

A:

Q: csc2 x + sec? a Csc* cos?

A: Given:       csc2x+sec2x=csc2xcos2x

Q: Use the method of substitution to evaluate 2x sin x? + c 2 sin x? + c sin x? + c 2 – sin x² + c

A: As we know that the common integration of : ∫cosudu=sinu ∫a·fxdx=a·∫fxdx

Q: Find sin a. (-3, 4) sin a = [? r

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Q: X 40 50 Y 30 Z

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Q: COSX dx V1- 2sinx

A:

Q: ) Prove that 2+sinZA Cos A-SinA

A: To Prove: cos3A-sin3AcosA-sinA=2+sin2A2

Q: (주) X X Evaluate: " sin' cos* () d 4

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Q: Find the value

A:

Q: バx 0 2. (5X sín x cos X dx

A: Use integration by parts

Q: 16. Simplify the expression cos -1 sin' x-1 O sec? x tan2 tan? a tan? a O - sec a

A: 16. We need to simplify the following expression cos2x-1sin2x-1

Q: fr. sin ax cos 3x dx

A:

Q: Sx2.- cos³ x-5 du 1-sin? x

A: Evaluation of the integral, bu using integral by parts

Q: dx sin² x cos²x 10. The value of f; A sinx-cosx+C B. cos x– sin x+C C. tanx-cotx+C D. cotx-tan x + C

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Q: 2 cos? x – sin x – 1 = 0

A: We need to solve the equation 2cos2x-sinx-1=0.

Q: dx 2 9 cos? x- sin? x ,2 COS

A: Some of the properties of trigonometric  tanx=sinxcosx1+tan2x=sec2x∫1xdx=lnx+C

Q: cOs x dx sin² x+ 2 sin x+5

A:

Q: Cos h2

A: The given series is ∑n=1∞1n2cos1n. Let an=1n2cos1n. Note that, the bound of cosine function is…

Q: e the triangle. For the sides, give an expres B C 101° a A 42° b=40 C

A: Step 1: From the figure, let's write the data:∠A=42∘,∠B=101∘,b=40,we have to find exact and…

Q: 1. sin x csc x 5. cos x (tan x + 1)

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Q: 8 / | V sin* x csc x dx

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Q: Sa sec ede tan' 0+9 tan e

A:

Q: sin? x cos“ x dx. 4

A: We have to find integration of sin²x.cos⁴x

Q: d?y + 4y coshx dx

A: