Find d²y 2 dx 11 y=¹1√√x

Q: 1 dxdy (2x+3y)² 2

A:

Q: 3)Differentiate. y =- 3 √√√x2+3 X

A: We have

Q: Find -2 (4x3 + 12x² - 2)dx

A: Evaluate the difite inetegral: Formula used:

Q: (1+x)*dx X

A:

Q: Evaluate: f (3x2 - 20x)² dx

A:

Q: Evaluate. (10x³+4x² - 7x+2) dx

A:

Q: の 2dx (3×+12メ-15) ー2

A: Given I=∫23x2+12x-1512dx

Q: 14) dx कर Vx2 - 8x - 9

A: Question - Evaluate the integral.

Q: f m/KJL = (3x + 2)' and mZKLJ= (7x-32)', fir %3D K M

A:

Q: x dx

A:

Q: 2 6² 6² S (3x + 4y) 5dxdy 0 Find

A: We need to evaluate :

Q: (2æ + 5)² dx

A:

Q: V= (6-3x-24) xdy

A: In the question we have to find the volume of the given integral function.

Q: √(√√x6 + 8 √√x³ − 10 √x4) dx

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Q: x²dx a. V2x-x2 x2 dx b. 1-х6

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Q: x dx 5- 4x2 .

A:

Q: If f₁² x√4-x²dx = ²√udu. Find a and b

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Q: Evaluate 3 (9x² – 2x + 1)dx 1

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

Q: d) Solve (0.8x?y³z– 0.6xy²z² +0.4y²) + (0.2y²)

A:

Q: √x√√7-x² d dx - S

A:

Q: Evaluate √3x So So dydx √√x²+y²

A:

Q: IT 5tan(3x) dx 12

A: Given ∫π12π95tan(3x) dx

Q: Calculate: 1 √√√√x (2√x + 5) √x+5 dx

A:

Q: х — 2 dx 4x2 + 4x + 1

A: We will use substitution and arrangements of terms to solve this integral

Q: (20" + 6a²)dæ + 6x²) dæ Find (2,x7

A: ∫(2x7+6x2) dx

Q: dx 4-9x²

A:

Q: Calculate √√3 8 2 1/√3 1 + x² dx

A: Given ∫13381+x2 dxTo evaluate the integral:

Q: 00 dx 1+4x2

A: Using simple integration