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A: ∫dxe2x+1let ex=tan ydifferentiate O.B.Sexdx =sec2y dy∫1tan2y+1×(sec2y dytany)

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A: Find your answer below

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A: Let I= ∫012x3+x2+3(x2+1)2dx ⇒I= ∫012x3(x2+1)2dx+  ∫01x2+1(x2+1)2dx+∫012(x2+1)2dx Let's say  ⇒I= I1+…

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A: We need to find the value of H3785H-1702=∫π/4πsec4xdx

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A: Given ey dx+2y+xey dy=0 Here M=ey and N=2y+xey ∂M∂y=ey  , ∂N∂x=ey Therefore,   ∂M∂y=∂N∂x is exact…

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A: Given, ∫0ln5x+12exdx  We have to evaluate the integral and simplify.

Q: Replace ? with an expression that will make the equation valid. d 1 In (x' +3) dx ? ,7 x' +3 The…

A: Here we first find the value of ddx in (x7+3)

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Q: 2. cot2 x dx

A: Given- ∫cot2x dx To Find- The value of the above integral. Formula Used- cosec2θ=1+cot2θ

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Q: calculate the integral.

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Q: x(2x² – 1)" dx After substitution is performed, which of the following is equivalent to

A: Given, ∫14x2x2-17dx

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A: Exact differential equation :       A differential equation is said to be exact if it satisfies…

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A: We have to find

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Q: 53. H(z) = sec“(/=)

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A: The formula for integration by parts is: Here,

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A: Integrate the function:

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A: Good Morning, This is the problem of Differential equation that can be solved by seperation of…

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A: The given integral is ∫ex−1ex+1dx. The formulas for indefinite integral are ∫1xdx=lnx+c and…

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A: