T(x) - [8 01 T1 2

Q: 2xy+X=0

A: In the question it is asked to solve the differential equation given, dxdy-2xy+x=0.

Q: Find all the values of x so that x4 = - 8 (i - √3)

A:

Q: dx x2 - 2x + 82 ||

A: Formula used     ∫  1/(u^2+1) du = tan^-1(u) + c

Q: 1 |(12x5 - 11)dx -1

A: ∫-1112x5-11 dx

Q: 4x -1 dlim x→(2xtの) メt

A: limx→-324x-1(2x+3)2

Q: ∫x2(x3-1)11dx

A: Given, ∫x2(x3-1)11dx We can solve it by substitution method

Q: 7x d.x 2)3 (1 – x²)³

A:

Q: Show that 22x-1 Г(2x) - r(x) r

A:

Q: dx /2х - х2

A:

Q: dx x²Vx? - 4) (x)

A: By substitution method, solve the integration. Put x = 2sec(theta)

Q: Evalvate 5x-12 X (x²+4) dx

A:

Q: dx 9 + x2

A: Integrating the function of the standard form we have,

Q: X Find | dx x²+8x+12

A:

Q: 2.-1 fx(1 + x²³)¯¯¹dx 88

A: Given that ∫-∞∞x(1+x2)-1dx

Q: Express 0 in each figure in terms of x. (a) 4 0 3= (b)

A: Using the trigonometric ratio  tan θ=PB  tan θ=x4   θ=tan-1 x4

Q: w (x) - 2x² + 5x + 3 X-1

A:

Q: z(Z-7) at z= 5

A: =z(z-7)substitute z=5=55-7=5-2=-10

Q: x - 1000 = (x. (x² + 10x

A:

Q: x²+5x-8 Evaluate f

A:

Q: Evaluate ((x-2)/x dx : 4 O 6 .6 テメ 11 3 11 * + C 11 6 4 + C 11 * テ x² +C /6

A:

Q: d (cosh x) dx Vx2

A:

Q: Ⓒ S x² (Inx)² dx 0

A:

Q: ∫t4(t5−2)3dt

A: We have to solve

Q: x(x - 2) = 9

A:

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A:

Q: E y= (4x²-5)* (3x-2)

A:

Q: dx 4-x とt

A:

Q: x) = (1/3)x - 6

A:

Q: dx x² - 4x + 13 X

A: Given  ∫dxx2-4x+13To find integral:

Q: 2x2 – 8 х2 — 16 Ax) =

A: The function is given by fx = 2x2-8x2-16 To determine : The plot of the function

Q: x³ + x² + 2x + 1 - dx (x² + 1)(x² + 2)

A: take partial fraction