π/4 [*/* (sec³x + sec³x) dz dx 0

Q: 1. Dx[arcsin(2x + 1)]

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Q: (a) [ dx ? 元+1

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Q: √ 2*+3* dx 5*

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Q: sinhx dx 1+ coshx ) A 1+ coshx B (1+coshx)? (1+coshx)² D 1+ coshx

A: We have to find

Q: dx sech x (3 +5 sinh x)

A: Please see the explanation below.

Q: e2 6. - dx -Find 1

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Q: 2 1. xe*dx

A: The value of the integral can be evaluated as following ∫02xexdx

Q: 8. f sec² (3x - 1) dx

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Q: dx 3 -1 (4-x²)7

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Q: Evaluate 2 Cot 2 / dx ct x 3 k 742

A: The given integral

Q: dr(sec'x) dx

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Q: ~|J O 1- Cos 2πTX) dx L x (1. 2

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Q: 5. Comparison Test Determine whether the following integrals converge or diverge. dx

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Q: cosh(In x) dx

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Q: Differentiate. y = In (7x + 8) In (8x + 5) dy dx II

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Q: dy/dx for (ln(tan(2x)-sqrt(3+e^2x) / (pi(x)^3-cos^2(-5x))

A: Given,     y  =  ln(tan2x)-3+e2xπx3-cos2(-5x)

Q: (4 - x2)3/2 dx 3

A: Consider, I=423∫-22(4-x2)3/2dx I =4232∫02(4-x2)3/2 dx   since f(x) is even function that is…