Bonus: Evaluate the integral (10 pts) cos'x dx

Q: find dy/dxy=cosx/1+sinx

A: To find the derivative of the given function y  = cos(x)/(1 + sin(x)).Use the quotient rule for…

Q: Find tan-1 x2 -dx using integration by parts.

A: Integral by parts

Q: g. y = u² + u³, u = ³ - 4v, v = 3 - x², x = 2 u5

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Q: Integrate sinln (10x) dx X

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Q: 118 t' sin (2€) dt

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Q: Integrate the following equation by using substitution method: J16x'cosx'dx

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Q: ソ=xX.sinx

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Q: dx sinhx

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Q: = Z

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Q: Find the derivative of y = In (tanh x).

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Q: Integrate: ∫ 3cos(2πx) dx

A: The given integral is ∫ 3cos2πxdx.

Q: Determine the number/s at which the function F(x)=√√4x² is continuous.

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the intervals where…

Q: find dy/dx if y= x.sinx

A: Given function is y=xsinx. We have to find the dydx. Use multiplication rule of derivative…