Find the indefinite integral. (Remember to use absolute values where appropriate.) 2x2 + 5 dx |0.2x + 1.5x

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A: a) ∫23(2x+3)(x-5)dx ∫23(2x2 -10x +3x -15)dx ∫23 2x2 -7x -15)dx [2x3/3 -7x2/2 -15x ]23 18 - 63/2 -45…

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A: As we know that the power rule: ∫xndx=xn+1n+1+C ; n≠-1 From the given problem: I=∫01x3+1x+1dx

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Q: ∫0−1x2(4x3+5)3 dx Determine the value of the definite integral given above. Enter your answer as an…

A: To evaluate the given definite integral (by appropriate substitution)