IF Y=√√√xx-√√x²+√√2x³ 3 Find dy dx

Q: Find -2 (4x3 + 12x² - 2)dx

A: Evaluate the difite inetegral: Formula used:

Q: 6 dx. 1+ 9x2 Calculate

A:

Q: If 5x + 2(x + 7) = 14x – 7. Find x a. 1b. 2c. 3d. 4

A: Given equation is We simplify the equation and solve for x.

Q: √3x²e²dx

A: Formula for integration by parts                                        ∫f(x)g(x)dx=f(x)∫g(x)dx…

Q: dx Find xVx+x+2

A:

Q: S cor 3ydx có

A: We need to find integral value.

Q: 3 2. x1 + x² dx

A: Definate integration

Q: Evaluate. (10x³+4x² - 7x+2) dx

A:

Q: X2 dx ex+3

A:

Q: 14) dx कर Vx2 - 8x - 9

A: Question - Evaluate the integral.

Q: (2x-1) (3x + 4) dæ

A:

Q: 2 6² 6² S (3x + 4y) 5dxdy 0 Find

A: We need to evaluate :

Q: d dx 0.8 - - 3.4x^2 +6x)

A:

Q: Find S dx √X²-2x+1

A: ∫1x2-2x+1dx=∫1x-1dx=lnx-1Add a constant to the solution=lnx-1+C

Q: 5. (2x + 3V )dx 2х + 3уx

A:

Q: Evaluate 3 (9x² – 2x + 1)dx 1

A: Given:∫13 9x2-2x+1 dxIntegrating formula:∫xn dx=xn+1+C

Q: Find d²y 2 dx 11 y=¹1√√x

A:

Q: 3. S tan¯¹ √√x dx

A:

Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: √x√√7-x² d dx - S

A:

Q: d. 2x³ + 1 x4 + 2x 12x -dx h. 1 ²x² - 2x + 1 x² dx

A:

Q: Evaluate √3x So So dydx √√x²+y²

A:

Q: xy'=y+ IX2-y2 ху

A: We have to find the general solution of the given differential equation xy'=y+x2-y2 .

Q: dx xV4x-1

A: To find: The integral of ∫dxx4x-1. Formula used: Integration formula: ∫dxx2+1=tan-1x+C

Q: 8x(x? + 1)3 dх .2 1)³dx -2 Inx 4. 1/4 xp() 3.

A:

Q: 1 4x +3 dr

A:

Q: Calculate ∫(√x+3√x)dx.

A:

Q: Find y if 2x 3 + √9y = 15 and x 3 + √4y = 20 .

A: We need to find y.