O Rewrite the integral ["x³ dx = 960, ["x dx = 24, ["dx = 4 f(x - 19) O √₁ (x-1 O 1₁° Cx (x - 19) dx in terms of the given integrals. (x19) dx = 19 (x - 19) dx = 8 19 [° (x) dx - [° dx fx-15 o f(x - 19). O (x19) dx = 19 8 ["(x) dx - 19 ["dx - 19 [ * (x³) dx - ["(x) dx - [" dx Lx ax Lax (x - 19) dx = (x - 19) dx = - [* (x) dx + 19 [* dx [Ⓡ (x - 19) dx = <- [* (x³) dx - 19 ºdx Evaluate the integral using the given values. Loc

Q: s dx ²√x² x² - 81 x² x = 9 sec (0)

A: ∫dxx2x2-81

Q: d) sin (x)e3*+ dx dx

A: The given integral is definite integral because limits are given.  So integration value will be a…

Q: Integrate the following: (a) (b) S dx1 x-x3 3 1 12x4 dx

A:

Q: 2. determine ∫12/5-2x dx by using substitution technique.

A: ∫125-2xdx  This is the integral given to us.we need to perform valid substitutions to evaluate the…

Q: Differentiate. d/ 4 – xex dx x + ex - [

A:

Q: 2. Count 1-e-x2 dx x2 -1 to an accuracy of 3 decimal places after the comma!

A:

Q: xp z/1 (1 − 1-x7)x^ S 4.

A:

Q: | – (3x² sin x + 2) dx In r dx Je

A: Since, you have asked multiple question, we will solved the first question for you. If you want any…

Q: The nh³ (2x) sech (2x) dx is equal to O A. sech³ (2x) sech³(2x) +C 3 10 O B. tanh°(2x) +C OC. sech³…

A:

Q: 3x2[x18 + x15 sinh(ax³)] dx

A: Given that ∫3x2x18+x15sinh(ax3)dx, 3∫3x2x15sinh(ax3)+x18dx Take u=x3→dudx=3x2,…

Q: (a) o'x dx .. -8 x (b) dx 0 4 .. ..

A:

Q: ۱۴ 14 g 3 3+1x 1= x² + 1× AND -FIND /dx WHEN X=2 =6.

A:

Q: In(arctan(x)) da 1+ x² 1

A: Given that a integration and we solve this integration by using general formula of integration.…

Q: 4. (a) Find dx (b) Using the result from part (a), evaluate. x So (1 + 22)3/2 (1+22)3/2 dx.

A: ANSWER : (a) ​  ANSWER : (b) ​

Q: I [20 / (e(8-10x) dx. The integrand equals 20 divided by [e raised to power of (8 - 10x)]. O…

A: ∫ex dx =ex+C

Q: B. Using Change of Variables and Generalized Power Formula, integrate the following: 1. fx (x2 –…

A: Since we have multiple numbers of question and our guideline is solve first question and kindly…

Q: 10 dx (х3-10х+5)1/3 -2

A: Given integral is ∫−2010x3−10x+513dx We have to evaluate ∫−2010x3−10x+513dx by trapezoidal rule. The…

Q: (x²-1) (*+3x +)[tan (1늦)그 dx

A:

Q: Evaluate: 2 (1) (2-3)* dx 1 1 dx x + 5 (2)

A:

Q: Suppose thatƒ(x) = d/dx (1 - √x) and g(x) = d/dx(x + 2). find ∫g(x) dx

A: Given: fx=ddx1-xand gx=ddxx+2 To Find: ∫gxdx Concept: Integration is an inverse process of…

Q: Let f(x) = e cosx, sx %3D 2. Express your answers in exact form. ElN

A: Inflection point occurs when the second derivative of the function equals to zero.