2 (d) ³² (3 [² (3 − z)(3z + 1) dz.

Q: (21 + V3)/3 11 dx Evaluate 50 + x - 14x

A: Explanation of the answer is as follows

Q: C=3/7 (bw+x) for w

A: The given algebraic equation is,

Q: √ (9+x²) ²0 dx is equal to 3x a. + Arctan) + C 3x b. (+ Arctan) + C - 54 c. + Arctan) + C 27 d. - (+…

A:

Q: L dx x-1 -1 -x²+1

A:

Q: (I+x²)d (l-x²) Vi+

A:

Q: 1. Find 2(3z + 4)² dz.

A:

Q: +). L x-1 dx -1x2+1

A:

Q: 2 [+√²-1)dx (4) »

A:

Q: S 2sin(4x +9)dx

A: Given query is to find the integral ∫ 2 sin(4x+9)dx.

Q: -dx. (3x² + 1)ª Evaluate -1 +C OA. 18(3x² + 1)³ O B, In(3x2 + 1)ª) +C 1 OC. + C 18(3x² + 1)³ x2 +C…

A: Given- ∫x3x2+14 To find- The value of the integral

Q: |(6x? - 5x+ 4/x - +1)dx

A: Solve the following integration

Q: [ (1 + 2x) dx 12

A: The given integral is ∫25 1+2x dx. Evaluate as follows.

Q: .2 dx Jo (9 + x²)2

A:

Q: 5. (2x + 3V )dx 2х + 3уx

A:

Q: (c) Evaluate 0 √3x - x² dx.

A: Given: I=∫033x-x2dx   As we know that; ∫cosax+bdx=1asinax+b+C

Q: A) a B) b ²¹dx = √( + g(x)) dx, then A + √² g(x) dx is equal to x³+x A. -1 B. −1+In(5/2) C. 1 D. -1…

A: Given; ∫x2-1x3+xdx=∫Ax+gxdx   As we know that; ∫1ax+bdx=1alnax+b+C

Q: dx 5. x/2 +x/3

A:

Q: 3) [ dx (x²+3)7/2 =

A:

Q: .2 2 S²6²³ (2x + 3y) dxdy 0 Find

A:

Q: -3 12 dx /5x+1

A: Basic rules of integration are required.

Q: -10 b) L,(x² + x)dx 10

A:

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

A:

Q: dy t 3xy=xy?, y(0)= -3

A:

Q: d Find dx (35z +4)

A: Solution of question as follows

Q: 00 x3 dx (x²+1)² it

A:

Q: b) 2(x4+1)5 dx

A:

Q: 7VJ – 4 r64 dy 3. Evaluate

A: ∫1647y-4y3dy=∫1647yy3-4y3 dy                              =∫1647y12y13-4y13 dy…

Q: 3. Find [(5-x² +18) dx

A: Find     ∫5-x2+18x4dx

Q: Find the J(2x + 1)³ dx

A: