JL KL 15. Given: NL ML Prove: 2J LN K L N.

Q: 3. Evaluate the improper integral: e-5p dp.

A:

Q: 1 J z(9 – In² z}5/2* 피(9-

A: We have to evaluate the given integral.

Q: A. Use Simpson's 1/3 rule to find the following integration: 300 dx) by dividing it to four equally…

A: Given ∫37300x2-6dx and four equally segments i.e., n=4 So that f(x)=y=300x2-6x0=3; x0+nh=7 i.e.,…

Q: If r=lū'lgthere ñ'= nÎ+ y then find vy". Q.2. B nE R-

A: Given             r→ = xi^ + yj^ +zk^ then              r = x2 + y2 +z2 To find: ∇2 rn where r = r,…

Q: T 4. Approximate the integral fo x cos xdx with n = 6 using the Composite Simp- son's rule.

A:

Q: Find the and the sroallart Valurs of the functron fx)%=Ie+t on The intosval 0< ILI %3D

A:

Q: Which integral should be used to find L {sin 3t}? a. sin 3t dt d. o -st sin 3t dt e b. Se-st sin 3t…

A:

Q: Q. 4 Perform the Integration for the following in order to find area under the curve over an…

A:

Q: Challenge Question 31) If m a,n a and a? = (m/n-F. then show that xyz = 1.

A: For a positive number n, the logarithm of n is the power to which some number b must be raised to…

Q: 1 1 dx 1) Evaluate the integral sinh r

A: Given that ∫0∞1x-1sinhxdxx Let  L=∫0∞1x-1sinhxdxx then…

Q: 6. mv² e 2kT dv (where m, k, and T are constants) [ v3 e

A:

Q: Evaluate ΣΓΗ en+1 dx. 1 + x? n=0 Jn

A:

Q: H.W. 8.2 Evaluate the integrals by part 1./x sind | 3. cos Si 12 cos i 5.x In x ln x dx 16. 6. [1²et…

A:

Q: Evaluate the following integral 5(ln æ)º dx| V(In æ)° –5

A:

Q: 3. Evaluate the following indefinite integ a) f dx 1 x ln(X)

A:

Q: 4- find dw if w: Z_sin (xy) x=t_y= Int. = tidt z=e

A: Given that w=z-sin(xy) , x=t,y=lnt, z=et-1see below the answer fordwdt with explanation

Q: Calculate the integral approximation Se for S6 = [₁2-² da. 27

A: We will find the integral approximate S6.

Q: E, where 'C' i-

A:

Q: Evaluale the integral (i+2) sinz 23 dr. dz, where C: 12) =1, by any two methods and compare the…

A:

Q: 22. Given that sinh 2 =, the value of cosh z is A. +- В. D. 4

A: Given: sinh x=34

Q: given the imPlicity Z+ casczl =xY findo ony mterms of Z

A: