Which of the following is equivalent to D OF lim 2 11 SVI + 2x de dx SVI+ 2x dx S₁ √I + x dx f₁₂ √I + x dx (²2√T + 2x dx

Q: | (5cotx – sin x) csc² x dx

A: Given integral is: ∫5cotx-sinxcsc2xdx Rewriting the integral:…

Q: x² + 1 dz x +1 ,2

A:

Q: 3x3 - 5хе\ + 2хcos(x) waluate:

A: We have to find out the integral

Q: *csch(2 sin 2x)cx 1. V1-4x let u= du=

A:

Q: dy dx for A B y=23√x²-3arcsin(x³) True False 2 9x² 33/x /1-x6

A:

Q: 3. :-3 + x – 5x² + 3x³ + 3x* x² +x- 2 Evaluate -dx 2

A: find integral then evaluate definate integral

Q: 9. f dx 3x²√√25-x² 10. √ √² + 2tdt 11. f 3x+1 -dx 3x³-2x²-4 12. x²(x-1)(x+2) dx

A:

Q: Vx - 2 dx xi(Vĩ + 1)

A:

Q: C) Find S x2e-* dx

A:

Q: dy Ex2: find for the following functions: dx a) y = (x² + 1)5 b) y = [(5-x)(4- 2x)]? c) y = (2x3 –…

A: According to guidelines we should have been able to solve only three subpart of the question

Q: find dy dx Y = √x tanx+ === ye х 2

A: given  y=x  ×tanx+1xformula used→(i) d dx(xn)=nxn-1(ii)  d dx(tanx)=sec2x(iii)  d…

Q: √√3 tan-¹x 4. (10 points) Evaluate SY 1+x2 dx (using substitution).

A: The value of the integral is 7 pi^2 / 288.

Q: Evaluate tan (7x+1) sec³(7x+1) dx .

A:

Q: 4, 8 sec3x tan5x dx

A:

Q: Evaluate: 1+ 2y dy dx •x x2

A:

Q: Ex: Using U= x²-1 x²+1, find: 1 x² - 1 x² +1√1+x4 dx

A:

Q: ²5° c) Evaluate x² (1 + x³)³ dx

A: We solve given integral by method of substitution.  To make integral easier,  we substitute some…

Q: Using appropriate substitution, [sec (2x) + 1] tan(2x) dx is equal to

A:

Q: Determine the 2.x2 – 4x + 6 dx using the definition. (hint: lim Rn)

A: Given: ∫12 2x2-4x+6 dx  To find: Value of the limit.

Q: then dy dx y = tan -1 ¹ ( √7x² − 1),

A:

Q: 3) [ dx (x²+3)7/2 =

A:

Q: sin 2x 2. lim- X0 2x+x

A:

Q: Evaluate: +(1+x+x² + x³)e-4x² dx Evaluate ¹/² √cose de 0

A:

Q: dy =Log. Loc

A: Using logarithmic property we can solve this problem.

Q: f(sin (6x))³ dx

A: According to our guidelines, we can answer only one question or the first three subparts of a…

Q: d. √ (1 + x)² dx √x

A: According to the given data, find the integral:

Q: 5x 2 Evaluate: f fx fdz dy dx 2

A:

Q: dx √x² + 2x + 2 S₁v - = In(√5-2).

A:

Q: Which of the following is correct? dx dx 2 + C 3x 1 Arcsin* + C 2x { A} S = Arcsin: {C} f V4-9x2…

A: Option C is   correct Answer