Find dr/d0. 10) e1/3 – r1/3 =1

Q: Differentiate. y= In [(x + 4)(5x– 6)(3 – x)] d dy In ((x+ 4)(5x – 6)(3–x))) = |

A: Given: To find: The derivative of the given function.

Q: (2 – 3x²)² e -×dx= 208 a 19860 244 O 196 aO 8.

A: The objective is to solve ∫0∞2-3x22e-xdx

Q: 2 3 Find 3/7 ) da 6x2 | _ -

A: We need to evaluate the following integral ∫6x2-2x+3x5-3xdx

Q: Ex=1/e2

A: Ex=1/e2 => Ex=e-2

Q: x2+1 - dx x4-x²+1

A:

Q: 【g火) ニ

A:

Q: Evaluate: d/dx [(x/7) + 7]

A:

Q: Y/9-2/5=1/3 Show also the checking

A: Solve and check the equation Y9-25=13.

Q: S 3x-7 (5-12x-9x²)² 3/2 dx

A: ∫3x-75-12x-9x23/2dx

Q: Find ∫ dx/√(e2x − 1)

A:

Q: Evaluate J dx √x(1+√x)

A: ∫1udu = lnu +C

Q: S(3x* – 5xP +x=³)dx.

A: Given query is to find the integral.

Q: dy 5t vi (In(t) + 1) Vi dt

A:

Q: 4. f 30x²5x³+3 dx e

A:

Q: Consider the following expressions as functions of a with domain equal to the open interval (0, 1)…

A: The given function f:0, 1→ℝ, we have to find a function that satisfies the given condition.

Q: Evaluate I = / a*. g³ Vx² – 3 dx

A:

Q: Compute the following. S(24x-8) (24x -8)(6x²–4x – 9)ª dx

A:

Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: 192) Find la(21)=?

A: Note the logarithm property : logaxy=logax+logay where x,y>0 and a>0 ,a≠0 . logaan=n ; where…

Q: Evaluate 1 dx (x - 2)³

A: we have to solve the integration

Q: 1/3 + 4y/6 = 2/3 Show your work

A: The given equation is 13+4y6=23To solve for the value of y

Q: -10 b) L,(x² + x)dx 10

A:

Q: B) Solve the following 3x -dx (x + 5)(2x - 1)

A: Topic = Integration

Q: 3. f(e-²x - 1) dx

A:

Q: 1+x Show that coth-1x = ; In () 2 x-1

A: We have to prove the given expression.

Q: Find ∫ dx / √(4x2 + 1)

A: Given: ∫14x2+1dx

Q: 2. f (√x - 72 dx

A:

Q: 4 10 c) f x ¹0 (5-)10 dx x

A: Find out the integration.

Q: 5 S Ix² x- 6|dx -5

A: The given integral,            ∫-55x2-x-6dx