2x3 dx 3x*+5 Evaluate the indefinite integral A In(3x*+5)+ C 12Inl2x히 + C 6ln(3x +5)+ C D 기nl2x히 + C 12

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A: integration formula for this question ∫ xn dx = xn+1n+1+C ; n≠1

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A: I = ∫6x3+4x2-90x-64x2-16dx as Numerator degree is greater than denominator degree, So, on dividing…

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A: Refer to the question, first evaluate the given integral in indefinite form that is with the limits.

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A: Try to simplify the numerator in terms of the denominator.

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A: Substitute u=z3+1,du=3z2.

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A: given integral, ∫1(1+2x)2dxwe have to evaluate the given integral

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A: in the given integral  let  8x^2 + 3 =t           16xdx = dt            xdx = (1/16)dt         put…

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A: Integration is summation of discrete data. The integral is calculated for the functions to find…

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A: In this question , we can check which integral transformed into ∫un du.

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A: The objective question evaluate the indefinite integral.

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A: Given ∫-156x5dx The Fundamental theorem of integral calculus  ∫abfxdx=Fb-Fa,  If F'x=fx

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A: As we know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

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A: Let's find.

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A: