Based on the Fundamental Theorem of Calculus, show in two statements what may be vrong with the following calculation: dx 3

Q: Find la da without using the Fundamental Theorem of Calculus.

A:

Q: Use the fundamental theorem of calculus to evaluate the following definite integral. (2x? + 2) dx…

A:

Q: Make a trigonometric substitution to evaluate / x V25 – x² dx

A: Formulae used: 1-sin2x=cosx ddxsinx=cosx ddxsin2x=2sinxcosx

Q: Use Wallis's Formulas to evaluate the integral. R/2 cos'(x) dx

A:

Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. | (4x2 + 9) dx…

A: To find the value of definite integral using  fundamental theorem of calculus.

Q: Q3/ By using definition, proof that cot x = - csc2 x. dx

A:

Q: Use a computer algebra system to approximate the it 2x 1I. * + 3y) dy dx

A: GIVEN DATA : The integral∫02∫x22xx3+3y2dydx Let the integral I=∫02∫x22xx3+3y2dydx First integrate…

Q: Q3/ By using definition, proof that cot x = - csc? x. dx %3D

A: In this question we will use basic of calculus i.e concept of differentability. Solution of the…

Q: Use the fundamental theorem of calculus to evaluate the following definite integral. | (3x2 + 9) dx…

A: Given query is to find the value of the integral.

Q: L In(t?)dt **csctdt dx -8

A: Given:  1. ddx∫x9lnt2dt2. ddx∫4x2 -xcsctdt3.∫18x43dt To evaluate 1,2,3 using Fundamental theorem of…

Q: Evaluate the following definite integral using Calculus: 2 (3x² +1)dx -2 3.

A:

Q: (b) dx

A:

Q: make the given substitutions to evaluate the indefiniteintegrals. ∫2x(x2 + 5)-4 dx, u = x2 + 5

A: Consider the given integral: ∫2xx2+5-4dx=∫2xx2+5dx-∫4dx Substitute u=x2+5→du=2xdx in the above…

Q: Ex: Let tanh u = – determine the values of the remaining five hyperbolic functions.

A:

Q: Use meau value theorem ex > 1+x for

A: The Mean Value Theorem states that if a function f   is  continuous   on   the closed interval [a,b]…

Q: Evaluate the definite integral. Si f (æ) dæ, ƒ (x) =47–(7x³+ 13)/x?

A:

Q: Can the Fundamental Theorem of Calculus be used to find 5xcosx?dx?

A: This question can be solved by applying the second part of fundamental theorem of calculus.

Q: Construct the tangent lines from point P to circle O in the figure below. Type here to search

A:

Q: Suppore velue fx) = x". Find Hhe valhe %3D fli.0) using finst-or for appresimaton

A:

Q: This is calculus

A: LHS = ∫-21(x2+x)dx = (x33+x22)-21         = (13+12+83-42)           = 3/2

Q: 70. Use the fact that (b*) = (In b) b* to prove that (ek*) = dx dx kekx. ||

A: Differentiation rules help to prove the required. The given fact helps to prove the required. Chain…

Q: Use the fundamental theorem of calculus to evaluate the following definite integral. S(ax? +9) dx 2…

A: use fundamental theorem to find the integral

Q: Prove Ĵ Ha (as) th(x) e che = Hm (x) Hn(x) e^ dx = √x 2.11.8mm

A:

Q: Show that the length of the perpendicular from the foot of the ordi- nate of any point on the…

A: We know the equation to the tangent at the point (x0, y0) is y-y0 = m(x-x0), where m is the slope.…

Q: With reference to this equation, distinguish between classification and regres- sion, and give an…

A: Given          y= f(x)  What is mean by prediction ? In prediction we predict value of variable by…

Q: Realize Stoke's theorem

A: Given,        A→=j^x+k^y

Q: Evaluate the following integral. sec c 2x tan 2x dx

A:

Q: By using definition, proof that cot x = – csc² x. dx |

A:

Q: Using the Fundamental Theorem of Calculus, we know that 1 dx x2 3 is equal to...

A:

Q: wing is equivalent to sec(T- )?

A:

Q: Use Wallis’s Formulas to evaluate the integral.

A: Wallis's formula for integration for even n: ∫0π/2cosnx dx=12·34… n-1nπ2

Q: Find the distance between the points (2, 1), (5, 3) using (a) the Distance Formula and (b)…

A:

Q: Use Part 2 of the Fundamental Theorem of Calculus to decide if the definite integral exists and…

A:

Q: | (6+xvF)dx

A:

Q: * e cot 3x csc23x dx -5 (Inx)* dx

A:

Q: The equation of the tangent plane to the surfae ye+ = 0 at the point (0,-1, 1) is az+by+cz = Which…

A: Given yexy+z2 = 0    point (0 , -1 , 1)Let f = yexy+z2dfdx= yexy.y ⇒dfdy(0 , -1 , 1)=1dfdy= yexy.x…

Q: Use symmetry to evaluate the followingintegrals.

A: Given: ∫-22x9 dx

Q: yepriate trigonomic subititution to rewrite the intya) U se in the form E sec'e de

A:

Q: Use the calculus of residues to evaluate the following integral: cos20 -de. 2 + cose

A:

Q: Show that for B > 0, Be-Ba dx = 1. |

A:

Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 8 e 2x dx…

A: The given definite integral,         ∫028 e2xdx

Q: If IN = frNe-2= dx, show that IN +IN-1, and hence evaluate f r*e-2" dx = -

A: As per bartleby instruction when more then one question is given only one has to be answered. Please…

Q: Evaluate the definite integral. i sec (18x) dx cot(18x)

A:

Q: Derive the De Moivre's Theorem?

A: The De Moivre’s formula or De Moivre’s Theorem states as: cosx+isinxn=cosnx+isinnxwhere i is the…

Q: Evaluate the following integral. dx x²+ 3 Ji 8.

A:

Q: Prove that the lengths of the two tangent segments to a circle from a point outside are equal. Use…

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

Q: tan v sec? v dv? |

A:

Q: Evaluate the integral: 2² sin (²) dt du

A: To evaluate the integral: ∫π2π∫0u2sintudt du

Q: 10. Find AC. 15 3r + 1 9.

A: We are authorized to solve only 1 question, please repost remaining questions Circle and tangent…

Q: Evaluate the following definite integral. sec2 dt /14

A: