3 + cos 3x dx Evaluate sin 3x

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A: Using trigometric identities

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A: To integrate: ∫sinx dxcos2x Solution: Let t=cosx Differentiating both sides, we get…

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A: We know that integration power rule is given as  Integration of xn is xn+1/n+1.   Here i attached…

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A: The given integral is ∫sin5xcos4xdx.

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A: The given integral is, The integral cannot be solved directly and we would have to use some…

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A: Let u=cos(7x+2)differentiate both sides w.r.t. x.Use chain rule for cos(7x+2)From there we get du/-7…

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A: Given. f(x) = cos2 x/(1-sinx) We need to calculate the indefinite integration of above function

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A: To find the integral  I = ∫sin10x cos x dx

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A: In the given question we need to evaluate the integral- ∫cos3xsin(x)-sin(3x)cos(x)dx , which can be…

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A: This is a problem related to integration. Based on the general formula and concepts we will answer…

Q: sin x (cos x + 4) dx 1+cos²x

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A: First we common out cos7(3x) sin7(3x) and then apply the formula cos2(3x)-sin2(3x)=cos(6x)

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A: Given integral is ∫sin2xdx1+cos2x. Consider a=1+cos2x. Then da=-2cosxsinxdxdx=da-sin2x

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A: We will find the values.

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A: Integral of a function is the anti derivative of the function, meaning area of the graph of the…

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A: solution:-∫cos4xsin3x1x2 dxlet 1x=t-1x2dx=dt=-∫cos4tsin3t dtWe know that the formula  2cosAsinB =…

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Q: /² sin ( cos() sin() dx (Consider initially the first 2 terms)

A: To evaluate the value of given integral. Use the identities: 1.sin A cos B=12sin(A+B)+sin (A-B)2.sin…

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A: Use substitution method

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A: find ∫sinxcos2x+13 dx first lets simplify it and then find the integral

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Q: | sin5 cos cos – dx 3

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Q: 3 sin³ (tan √x² + 3x²)] dx d [(x²+1) cotx dx 3- cos x csc x

A: To find the following derivatives.i ddx3 sin3tan x2+3x2ii ddxx2+1 cot x3-cos x csc x