Q2. Evaluate without using tables tanh0.75.

Q: 16) Using algebraic substitution, which of the following will effectively evaluate dx R.:-%

A: We use substitution method

Q: 38. If x > 0, then 4(Insinh2r) : dr A coth2r B C 2tanh2r D tanh2r A B 2 coth2r D

A: Given : ddxlnsinh2x

Q: Evaluate: ³₂²₁¹ [2³(x + y)³] dz dy dx

A:

Q: ive non-zero of power s-

A:

Q: Find dy for each of the fo llowing (4) y In (tax? tbx +c )

A:

Q: (In3+j5)5 sech(5.5430°) TT tanh ja V[ej – j213 ji]4 ¡213

A: Given tanhjπ4ej-j213jj4ln3+j55sech(5.5∠30°)

Q: f (t) =1*b +acosh 21 + bsinh 21 a+b

A:

Q: ly manufactur nk for the exp- greed that she

A:

Q: Use substitution to evaluate dx.

A:

Q: Vx? +64dx sec ede tan e

A:

Q: 19. Use u substitution to evaluate. x5 So (4+x6)³) dx

A: Evaluation of the definite Integral by substitution method

Q: Q2g If DF(x) = f(x+h)-f(x) for fixed h then find sh (ex-)) = ?

A: We have to find the △h(e2x-1).

Q: evaluate the ntearal 4. (メースdx 3.

A:

Q: In (x²) dx e²

A:

Q: Find FH. F 27° Write your answer as an integer or as a decimal rounded to the nearest tent. FH %3D…

A: we have to find FH from the given figure

Q: S egral dx (x²+4)² can be transfa

A: Answer is option-(d).   Using basic equations of trigonometry and substitution we got the answer as…

Q: S 2x(x² - 2x)dx

A:

Q: dx Evaluate So x²+4

A: Follow the procedure given below.

Q: dx -=? S 3+2cosx

A: Given that a integration problem and we solve it by using general property of integration. We know…

Q: Q4): Evaluate: L SEL(a + 1) dzdydx ;a = constant

A:

Q: 5x dy. 10.) Evaluate

A:

Q: Q4 Suppose X ~ Exp(A), calculate E[X|X > 1].

A: * SOLUTION :-  (4) As per given data the calculation is shown below

Q: (a) tanh(2lnx )

A:

Q: aln(Vx) dx

A:

Q: Q2: EVALUATE * S x² e=2x² dx

A: The given integral is, I=∫0∞x2e-2x2 dx First solve the given integral without limits, then at the…

Q: Evaluate using ALgebraic substitution y dy

A: Given  y3dy / (4-y2)3/2 We have to integrate this

Q: Q12: use differentials to estimate (26. 96)3

A:

Q: Evaluate o tanh x dx. 0.25 0.4338 3.086 7.388

A: The integration of hyperbolic tangent function is: Since the integration has limits provided;…

Q: Evaluate: * dx re+1 5.) X-

A: Find your answer below

Q: 2x-1 ate dx by using substitution m

A:

Q: eg Show thaf Full likely hod ven by W - M

A:

Q: Civen foy -x-6x+7 ind the oguation 7 the tongent line to the une e of fo) at x=4

A: Given: f(x) = x2 – 6x + 7 and the point x = 4.

Q: Evaluate S X 2 ex² D dx

A:

Q: Approximate V126 using Ay f'(x) · Ax

A: Given,  126

Q: Q1 Evaluate dx 1-х4

A:

Q: y= Sn (tan (8x) ニ

A: A detailed solution is given below

Q: Evaluate Stan" (x) sec¹x dx*

A:

Q: Q2. Evaluate by “by Parts" method 3 Va tan-1 Vxdx

A:

Q: x²dx 5. S х2—4х+5

A:

Q: Aut (2) E Z..

A:

Q: ß increases as µ approaches Howhen H, is false True False

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: 38. If x > 0, then 4(Insinh 2r) = dr A coth2r B 2coth2r 2tanh2r D tanh2r

A: We will differentiate using the chain rule of differentiation

Q: at is the an

A: The given power series is ∑n=1∞(2n-1)nn3=∑n=1∞an then an=(2n-1)nn3

Q: Evaluate. (Be sure to check by differentiating!) S(x3 + 5)° x² dx

A: ∫(x3+5)9x2dx Formula ∫xndx=xn+1n+1+C

Q: Q1/B: Evaluate: (a) tanh-1 0.75 and (b) cosh-1 2.

A:

Q: Evaluate So xtan-1 (x) dx Select one: 4 4 T-2 4 4 None of these TT+2 4

A:

Q: Q5) Evaluate: Lyz(x + 1) dzdydx

A: our objective is to find the integration

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.