x3 dx 10. x2 + 2)

Q: 10 x2+3 dx 4

A: Explanation of the answer is as follows

Q: 2 3 -x³ dx 10

A:

Q: 4. (2x2-у?)dx+2хydy-0

A:

Q: 1 dx 4x 12 /-

A: Our Aim is to integrate ∫2314xdx -(i)

Q: бх-7 7. S dx (2х+1)(4x2+1)

A:

Q: Sx dx 3 x2 ४

A:

Q: +² = x² dx

A: We have to solve the given differential equation

Q: Evaluate the integrals

A:

Q: •5 b) 3 -dx x – 3

A:

Q: ди + 2и ду %3D dx2

A: Given PDE is

Q: -12 3 dx 12-x

A:

Q: Sla 1 z dx |(25 – x²)3/2]

A:

Q: 4 dx 16 + x2 -4

A: To find: The integration of ∫-44dx16+x2. Concept used: Integration formula: ∫dxa2+x2=1atan-1xa

Q: x2"(1 + In x) dx 2lax -dx 33. 34.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 213 dx 4+x² ,2

A: We will use substitution to solve the integral

Q: 7. What is dx (x six(x)?

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Suaef(Ox-tan(Sx-) dx 2 2

A: Given:

Q: 4. 16x – 2x2 – 23 dx -

A:

Q: Sx sech2 x² dx

A: Given:  Integral of xsech2x2

Q: dx 4 (7-x²)*

A: We will find the integral as following.

Q: Cх3 In x dx 1

A:

Q: 1 (a) dx + 25x2 4 -

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: 4- x²+4 dx ht. 23

A: To evaluate∫x3x2+4dx We can find the integral by substitution method.

Q: x(x²-x+2) dx is equal to 3

A:

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

A: See the attachment

Q: 6. §, (x +1)? e*dx •4 dx х —1 7. 2 8. x²cos2xdx

A: Note :  As per our guidelines we are supposed to answer only one question and 3-subparts. Since you…

Q: 5 ex dx e2x

A: Given: ∫5-exe2xdx

Q: 3 dx o v9 – x²

A: We know that,  ∫dxa2-x2=sin-1xa+C ∫03dx9-x2=∫03dx32-x2                    =sin-1x3+C Now applying…

Q: 3 x2 dx 4

A:

Q: 2 x -dx 6. Jo 1-x

A:

Q: dy 9x2 + 5 dx ,2

A:

Q: Se2x sec?e2x Vtan e2x + 2 dx

A:

Q: √(x + 3) dx √16-x²

A: Solution

Q: メ+4 dx x²+4

A: Given:       ∫x+4x2+4dx      =∫xx2+4+4x2+4dx Apply linearity:      =∫xx2+4dx+4∫1x2+4dx

Q: 4. dx x4 √1+x² S=

A:

Q: 2 Evaluate || dx +4x+3

A:

Q: 1 T/ -dx 6 x²+16

A:

Q: 312 Z+3) dx 112

A: Given: ∫12324x3-6x2+3 To find: The given integral.

Q: 3 V3x x2 dy dx O 27 O 54

A:

Q: Using appropriate substitution 9x2 – 4 dx X is equal to

A:

Q: S,12x – 3|dx 3. -

A: ∫04|2x - 3|dx In the limit 0 to 4, we need to open the modulus sign: fx = 2x - 3 = 0   ⇒ x = 32  So,…

Q: 1. J (5x* - – 4x + 7) dx 8x³ + 6x2

A:

Q: 3 dx -3 x2–16

A:

Q: Vsin² 2x dx =?

A: Given ∫02πsin2 (2x) dx Remember sin2 (2x) is always positive. Thus, sin2 (2x) should be positive for…

Q: 3. to 4. Hox - 9x²+8dx 2- 十一X dx

A: ∫10x4-9x2+8x2dx

Q: x2 dx 21. 7-5x3

A:

Q: fo³x² 10 xx(In x + 1) dx

A: The given integral is  ∫0∞x-xln x+1 dx

Q: 3. (a) Determine 3 + x2 VI dx x2 (b) Determine 4 dx + x2

A:

Q: 6x+1 や+ 2 dx

A: By using differentiation quotient formula we calculate the given problem.