1 Using u = 1 + 2x6, then the integral | x°(1+ 2x6)5 dx becomes 12 us du- This evaluates as 5+1 1 12 5 +1 12 6

Q: 7x+6x+5 dx. Evaluate J(x+1)(x² +1)'

A: Consider the given integral.

Q: Evaluute the integra dx 0 16+49x2

A: Here we have to evaluate I=∫-∞∞dx16+4x2

Q: 2. [x² √x + 1 dx

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Q: x2+1 - dx x4-x²+1

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Q: Compute the following. 6 8x4- 30x³+33x²–11x +19 dx

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Q: 8x 5. S dx 2. 2. (4x +3)

A: ∫8x(4x2+3)23dx∫(4x2+3)-23 8x dxhere f(x) =4x2+3 , f'(x) =8x , n=-23∫f(x)nf'(x) dx= f(x)n+1n+1+c

Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: 8. Evaluate the integral 4 + 6x dx Vx

A: In this question we have to solve the integration given. we can write , x=(x)12

Q: I [20 / (e(8-10x) dx. The integrand equals 20 divided by [e raised to power of (8 - 10x)]. O…

A: ∫ex dx =ex+C

Q: Compute the following. S(24x-8) (24x -8)(6x²–4x – 9)ª dx

A:

Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: S (In 2x2 dx

A: Evaluate the integral :    ∫ln 2x2 dx

Q: Show that: -1 xb-1 In x dx b2 2-

A: we use integration by parts

Q: Z = 5 X 4 2 -7x+8 d²z dx2

A:

Q: dr Find if r (x) = 9x 2 + 5x – 3. dx

A: Given,            r(x) = 9x2 + 5x - 3

Q: ] = ²P (£ + 29 + +) 7 Find(+6e+3) dz

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Q: Compute the following. d [(3x11+5x7-12xª+16x²+28x)(7sec(x)-5x-4–14)] dx

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Q: 2y y²-25 dx

A: As per our guidelines we are supposed to answer only one question please repost the other question…

Q: 11x+8 1. S x²+x-6 dx

A:

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

A: Evaluate