Consider the integral fa¹ In(a) Applying the integration by parts technique, let U = In(x) dv = x4 ✓dx Then uv - fodu = - In(x) ¹ x T 4 fæªln(x) dx= and dx: dx +C

Q: Sx(x – 7)12 dx Integrate

A: Hence,  ∫x(x-7)12dx=(x-7)1414+7(x-7)1313+C          Where C is an integral constant .

Q: ollowing intogral: r 2x--x+1 dr

A:

Q: Consider the integral sin-(5x) dx: Applying the integration by parts technique, let U = and dv dx…

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Q: 20. Use integration tables to find J coox 7sinx + 5sinx + 4 dx

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Q: -16 dx 1. X=2 sec(e) 2. x= 2sin(e) 4-X dx 3. X= 4tan(e) 4. X= 4sec(e) SV16+ x² dx x²-4 dx

A: See the details solution in below

Q: Integrate: x dx (xt1)(x*+2)

A: Given data: The given integral is I=∫x2(x+1)(x2+1)dx. The given integral can be written as,…

Q: 20 + 7)* Evaluate the integral dæ + 7)* * by making the appropriate substitution: u = dx (2x + 7)4

A: Let's find integration of given function.