Express lim as a definite integral, f(x)dx. n 0 n i=1

Q: r sin(T|2² - 1) cos² (7|2² - 11) da -3

A: To find the following definite integral.

Q: Find the absolute extrema for f (x) = -x² – 1 over [-2,2] .

A: Please refer the attached image for complete solution.

Q: find Zrr and Zss for function Z(r,s)=ln(2r+3s)

A: Given that  find Zrr and Zss for function Z(r,s)=ln(2r+3s)find Zrr and Zss for function…

Q: D) Calculate the following definite integral: [* (/{√x - 1) dx

A:

Q: → (+,-) (- -) J (4)

A:

Q: Find the indefinite integral for the function using the substitution u = 8x² + 7. -dx = 18x +7 S -dx…

A: The given integral is ∫x8x2+7dx To find the value of the integral.

Q: Q6. Verify that 8²1 əxəy for the function f(x,y) = ln(2x + 3y)

A: Given,            fx,y=ln2x+3yTo find : Verify that ∂f∂x∂y for the given function.

Q: Evaluate the following using geometric application of definite integral:

A:

Q: Evaluate integral 6x²–2x−1_dx b. S 4x -x

A: To evaluate the following integral. ∫6x2-2x-14x3-x dx

Q: 19. Graph f(x)=3*+++2 10 8 -10-8-64-2 -2 -6 -8 -10- 6 42 2 4 6 8 10

A: Question No. (19): To draw the graph of the function .Note: Since you have posted multiple…

Q: (ii) Evaluate the definite integral r³e² dr.

A:

Q: Find the indefinite integral ∫ 3/2√x(1 + x)    dx

A: Evaluate: ∫32x1+xdx