22. Find OY if y2 - 4xy + x² = 10. dx

Q: x + 5 dx 0. 6.

A: Question from definite integration.

Q: The rate of sales of bottled water in a country for the period 2007-2014 can be approximated by s(t)…

A:

Q: 7. Find. V2x dx - 1

A:

Q: 1. у%3D х3 — 2x2 + 3х — 5 y = 3 — 2х2 + 3х — 5 dy — Зx2 — 4х + 3 dx

A: Given: y=x3-2x2+3x-5

Q: 77. Use substitution with u = x² + 4x + 3, = (x +2) dx.

A:

Q: 7. Use substitution to evaluate ſ 2x(4 – x²) dx.

A:

Q: 3.2 (2x - y²) dxdy

A:

Q: 2. S (x * - x³ -3x) dx V4

A: Explanation of the answer is as follows

Q: 1. dx Jo (x2 + 4)3/2 8.

A:

Q: 3. y = 1 √x Calculate y'. 1 V3

A:

Q: Find √√3 x² +3 x² +1 dx

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Q: 2. (2xy + y²)dx – 2x²dy = 0 -

A: Let's find.

Q: 9. (yexy - 2y³)dx + (xexy - 6xy2 - 2y)dy = 0

A: The given differential equation is exact, so solve this by the procedure of exact differential…

Q: 4. dx √-x² + 6x

A: 4.We need to evaluate the following integral,⇒I=∫dx−x2+6x ;

Q: 4- x²+4 dx ht. 23

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

Q: Find y". y = x(3x + 1)* y" =L

A: Given function is  y= x(3x+1)4  We have to find : y".

Q: 8. (y2 + 7xy + 16x²)dx + x²dy = 0,when x = 1, y = 1

A:

Q: 3/4y +1 dy 2. Evaluate 0,

A: Given: ∫0234y+1dy Substitute, 4y+1=u dudy=4dy=14du =34∫udu ...........(1)

Q: 1. Solve. X x²-5 +5r+0 - dx

A:

Q: 2. * Evsluate O 4 | dx Evoluate @ 12-X

A:

Q: 1. (4xy? – 6y³)dx + (x³ – 8x?y + 9xy²)dy : |

A: Substitute x=yv

Q: 1 B3. Evaluate dx, using substitution method.

A:

Q: 6x 3x SeoX sin e dx

A: First apply substitution method then U.V formula of integration

Q: (9xy-2y2) dx - (6x²- xy) dy =0

A: 9xy-2y2dx-6x2-xydy=0dydx=6x2-xy9xy-2y2dydx=x6x-yy9x-2y

Q: 1. y = x3 – 2x² + 3x – 5 - - dy 3x2 – 4x + 3 - dx

A:

Q: dy 1– y? dx

A: To solve the differential equation x2ydydx=1-y2 apply the method of separation of variables. Group…

Q: 2x + 1

A: Given: I=∫e2x+1dx