x'dx 1. Integration by Parts f Vx4-5 dx 2. Algebraic Substitution f (x+2)vx+1 3. Trigonometric Substitution V4-x2 dp- x4

Q: Differentiate dx y=3x²+2 (3x² + 2) = 3+.

A:

Q: 3 dx 23. (x-1)(x 2)

A: Given,

Q: 2. メ+ 2x

A: I have given an answer in step 2.

Q: 1. 5x²+4x2-5 dx

A:

Q: Find - 6x+1 x² +1 -dx.

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Q: Implicit definition- solve for dy/dx 4x^2 +y^2+2x-3y+2x^3y=2+6xy

A: Here we will take derivative both sides with respect to x and then apply chain rule.

Q: d/dx [(2x+1)3(3x2-1)4]

A:

Q: x2 - 4 3 dx

A: The given integral is: I=∫x2-4x3dx

Q: 3(x5 + x³) ez"+xª + 3(x6 +xª) +2 dx -2

A:

Q: dx V4 - x - dx 2 8)

A:

Q: Using basic rules of integration, find a. dr b. Jrdx c. fx'(-2r² - 8)dx 12x² – x d. xp- -dx 1-3х e.…

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Q: (x + 4) dx (x + 2) Vx +. 5

A: To evaluate the integral: ∫x+4(x+2)x+5dx Direct integration is not possible, so we will use the…

Q: 5 x´ - 9 -9- +2)x dx X 5.

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Q: X 3- Ssin ² x dx ។

A:

Q: (x2 - 4x + 4)4/3 dx -

A:

Q: teimx dx xF I+ x²

A: Given query is to find the integral.

Q: dx XV. xVx2-4

A:

Q: Зх + 2 dx. 1 – x²

A: Given. We are given a function and we need to do indefinite integration on it. I = INT[…

Q: 3 + 2х +1 2х +1 2 dx -4

A:

Q: y-Castesinz şinz

A: The detailed solution is as follows below:

Q: check

A:

Q: 2х+1 dx (3х-1)(х2+2х+2)

A:

Q: 1 dx x²/4+x²

A: to evaluate the given integral

Q: * Salne the equalion:- (2x-44 +5)y'=n -2y+3

A: This homogeneous differential equation is solve by substitution and then by separation of variables…

Q: dy_2y-x+5 dx 2x- y-4

A: Find the solution of the ordinary differential equationdydx=2y-x+52x-y-4

Q: 1 + 2x dx 1

A:

Q: X (2x +1) ax wing u- technique

A: To evaluate the integral: ∫x2x+12 dx Solution: Integration by parts states that: ∫uv dx=u∫v dx-∫u'∫v…

Q: Secx tant I seex+ Secx+3

A:

Q: Sel+x3/2 Vx dx ,1+3 X,

A: