Calculate facos xdx . (a) rsinr – casz+c (b) Icosz+sin x+c (c) zcost-sin x+c (d) Isinz+cOSI+C (e) sinz+c

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A: This question is related to Trigonometric identities, we will solve it using given information.

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A:

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A: According to the problem, we have

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A:

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A: Given that: ∫tan5(7x+1).sec3(7x+1)dx

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A: Given,           1+sin2x+cos2xcosx

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A:

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A: Correct Option is Last  i.e. None

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A: You know:

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A: To integrate: ∫sin2xsin5xsin3xdx Solution: We know, sin(A-B)=sinAcosB-cosAsinB    ...(1)…

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A: Note:∘ddx(sinx) = cosx ∘ddx(a) = 0                                         where a is constant∘∫etdt…

Q: 22х+5 3. х2+20 dx

A: We have  (3) I=∫22x+5x2+20 dx We can write as I=22∫xx2+20+5∫ 1x2+20dxI=22I1+5I2

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Q: Use the cofunction identities to select the correct answer which fills in the blank. cos(10x) = sin_…

A: We know that, sin(90°+x) = cos(x) sin(90°-x) = cos(x)

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A: If , then the independent variable x is called the input of the function and the dependent variable…

Q: Integrate sinx+cosxdx/cosx

A: We have to Evaluate: ∫sin x+ cosxcos xdx ∫sin x+ cosxcos xdx=∫sin xcos x+cos xcos xdx=∫tan x +1dx…

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A: cos2x+12=cosecx.cosxtanx+cotxL.H.S.=cos2x+12we know that…

Q: Simplify cos²(4y) - sin²(4y)

A: