(1) [ Evaluate the indefinite integral by substitution: a+bx² dx 3ax+bx3 (2) / sec³xtanxdx T

Q: 1. 5x²+4x2-5 dx

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Q: 7. Use substitution to evaluate ſ 2x(4 – x²) dx.

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Q: Explain why the Power Rule cannot be used to evaluate the integral (2x4 − 5)8(8x)dx

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Q: x2+1 - dx x4-x²+1

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Q: Evaluate: d/dx [(x/7) + 7]

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Q: u= 4-xneduce the ntegral to standand ferm Sonm dx 4-x)=

A: ∫x64-x72dx In this problem we need to reduce the given equation into standard form and solve the…

Q: How does the method of substitution work for definite integrals? Give examples.

A: To elaborate the use of substitution for computing the integrals with example.

Q: s dx 20+ 8x - x²

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Q: @d (2x"+-Nx) ®d ceax. In (2x+5)) dx OS (X+3) dx

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Q: – dx x Inx x²+1

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Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: Evaluate x(x2 + 1)3 dx.

A: Given ∫x(x2+1)3dx

Q: -10 b) L,(x² + x)dx 10

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Q: 2x² − x +4 x³ + 4x Evaluate [ [20 dx.

A: Evaluate