(a.V)a= Va²-ax (Vxa)

Q: Find (22 + 1)Va dr.

A:

Q: Evaluate 3 | ((2 – 1)32, (3 + t)2, 1)dx. 3/2 3/2 -3

A:

Q: fxe dx. B. (i) Evaluate

A:

Q: dx √√x + ³√x X

A:

Q: Find ∫√(2x − 1) dx.

A: Given:

Q: dx (9 – 4.x²)³/2 2,3/2

A: Given: The integral is ∫dx9-4x232. To find: Value of the integral.

Q: Find the value of a such that [*2* dz = 2023.

A: Given that , ∫0a2xdx=2023 find the value of a.

Q: dx (x. + 1) Vx + 3

A: Evaluate I=∫dxx+1x+3

Q: S 7dx x(lnx + 1)

A:

Q: I(x²-x)dx= O a. -30 O b. 5 O c. 9 O d. 0

A: Given integral is  ∫-22x3-xdx

Q: 1. L,(3x? – 2x³)dx 2. (x? – 1)va dx

A: We will solve the problem.

Q: Evaluate J dx √x(1+√x)

A: ∫1udu = lnu +C

Q: dx d. de. f(3x + 2)5 dx f sec²x

A:

Q: dx -(r+

A: We have to evaluate the following integral: ∫dx4-x+22

Q: 4. f 30x²5x³+3 dx e

A:

Q: (23×e¬*)dx

A:

Q: Find the values of d/dx (11) and d/dx(π)

A: Consider the provided information, ddx11   and   ddxπ. Find the values of the derivative. The…

Q: dx 1+ 3/2 х

A: We need to integrate the given integral.

Q: Evaluat dx (b) 2.6 m2

A:

Q: Evaluate I = / a*. g³ Vx² – 3 dx

A:

Q: Consider the area bounded by f(x) = e-3x+2 and the x-axis over the interval [0, 4]. In your written…

A: Given function is fx=e-3x+2 interval is 0,4 Midpoint Rule:-  Use the midpoint rule of two sub…

Q: cosh x dx е e- 2х

A: Given integral is ∫coshxe-2xdx

Q: Dsinx-sin3x [3] sin³x = find D and E. %D E

A: Solve for D and E

Q: dx. x2 V1+ x2 Evaluate

A:

Q: S x²(csc2x³)(cot2x³)dx

A: Given ∫x2csc2x3cot2x3 dx To evaluate the integral:

Q: 1 B3. Evaluate dx, using substitution method.

A:

Q: 1 dx 3. is equal to

A: The given integral:∫1x23dxWe need to evaluate the integral.