In evaluating dr by substitution, if u =x³+I then what will be the resulting indefinite integral in terms of u and du? x³ + 1

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A: ∫sinx cosx dx multiply and divide by 21 2∫2sinx cosx dx=12∫sin2x dx

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A: According to the given question it is required to choose the value of ‘u’.So, in the given integral,

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A: Explanation of the answer is as follows

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Q: 2ェ dr Vェ? +1

A: We have to find the given integral.

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A: We have to evaluate the indefinite integral.

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A: The solution are next

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A: We can find the answer as below.

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Q: . Show that 1, x, x² are three particular integrals of x (x2 - 1) yı +

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Q: In evaluating 4-x dr by substitution, if u=4-x then what will be the resulting indefinite integral…

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Q: In evaluating sin³( 2x)cos(2x) dr by substitution, if 4 =sin(2x) then what will be the resulting…

A: By the given substitution we can solve it.

Q: Find the general indefinite integral.   ∫ (u +4)  (2u +1)   du

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Q: In evaluating / (2r+3) Vx+2 dr by substitution, if u =x+2 then what will be the resulting indefinite…

A: The integral ∫2x+3x+2 by substitution, u=x+2