e tan (e) dr sec2 (e) – 7

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A: Given: I=∫13(7x−4x)dx

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A: Consider the given integral

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A: 1.Solution : ∫sin34xcos34xdx123∫23sin34xcos34xdx123∫sin38xdx    2sinxcosx=sin2x123∫3sin8x-sin24x4dx…

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A: YOUR ANSWER IS INCORRECT

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A: For evaluation of the integral given, let proceeds as follows,

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A: SOLUTION-

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A: ∫sinx7+cos2xdx Put cosx=t⇒-sinx=dtdx⇒sinx dx=-dt

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A: Given: Let I=∫sec2 x dxtan2 x+4tan x To Find: To solve the given integral

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A: The given integral is,

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A: Given integral is: Let tan x=u Then we get, sec2 x dx=du

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A: 1. Given integral is ∫π4π3sinx·cosx dx Substituting  sinx=u ⇒cosx dx=du Hence, limits becomes,…

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A: Consider the indefinite integral

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A: Solution..

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Q: calculate the indefinite integral.

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Q: dx (d) Evaluate the integral | using trigonometric substitutions. X²V4X +1

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

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A: The solution are next step