| In(x + 4) dx

Q: d {In(1+x + x²)} Find dx

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Q: In(x²+x)-Inx-elnx dx In(e(x+1)

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Q: In the function given. Evaluate the integrals.

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Q: for all of dx 1- y = xvInx 2- y = 3 x(x-2) x²+1

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Q: Evaluate the integral: √ S - (9x²+7x) (x−1)(x+1)² dx = ← +C

A: Given; I=∫-9x2+7xx-1x+12dx   As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: Find dy dx 2 for x²exy = 5 WA/

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Q: Evaluate In x dx x3 А. In x x3 1 In x 2x2 1 + C 4x2 В. In x dx 1 1 x3 In x - 2x2 4x2 + C С. In x dx…

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Q: (c) [ n@dx In(x) dx x2

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Q: コ-6 dx 1十XS

A: Given Data: Subdivisions: n=6 Integrand: ∫0311+x5dx Function: fx=11+x5 Lower limit: a=0 Upper limit:…

Q: d x° In x C. dx d [x3 d In x+ 3 [In x] -. 3 dx 3 dx

A: Given:

Q: Find the integral. dx 7/3-3x2 +C O b 2x2 육x기3-2x-2.c O d + 2x

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Q: dey こてxニコッン alx

A: We have to find :- d2y/d2x= ?

Q: S [ In x°dx

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Q: Evaluate d/dx { In√(x+1)}

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Q: Cх3 In x dx 1

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Q: a. S f (x² - 2x + 1) e²x dx

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Q: 4. If ( Inx dx = f(x)[In(x) + 1] + C, then f(1) = A 1 B D -1

A: Solution

Q: d° Find -(x* In x). dx

A: To obtain d9dx9x8lnx. Compute the derivatives.…

Q: Show that (xcos(2x)dx=. A-2 8

A: LetI=∫0π4xcos2xdxPut 2x=udifferentiate on both side2dx=dudx=du2As x→0 then u→0As x→π4 then…

Q: (In x)² dx 3r

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Q: ·S In (x) vxln(x)-x X dx

A: We know that integration power rule is - Integration of xn is xn+1/n+1 + C . Here C is integration…

Q: In(x²) dx 1

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Q: a. Evaluate S dx α x2+βx+13

A: Given- ∫xαx2+βx+13dx To find- The value of the above integral. Identity Used- ∫1a2+x2=1atan-1xa and…

Q: b) Evaluate (x² + 1) In x dx .

A: We have to evaluate the given integration.

Q: π Show x² x² + x² +1 4 √3 -∞0 4 Hint: x² + x² +1= (xª + 2x² +1) − x² = (x² +1)² −x² dx =

A: The objective is to show that ∫-∞∞ x2x4+x2+1dx=π3

Q: x2 + 2x + 4 dx 3-Jx– 1)(x² + 2x + 1)

A: Convert rational function into partial fraction. And than integrate function.

Q: dx x(In x)5

A: NOTE: Refresh your page if you can't see any equations. . ............(1) substitute…

Q: Inx+1 dy will be dx If y = then 2x3 – 3x' (2x³ – 3x) +1) –- (In x + 1)(6x? – 3) А. (2x³ – 3x)² (2x3…

A: Using derivative rule of (u/v),

Q: In3 x B. Evaluate ( [e2x+3y dy dx

A: We have to integrate

Q: In x 了dx 7.

A: The given integration is: ∫lnxx2dx  To find the value of the integration.

Q: x*dx 3. S x2-1

A: use a partial fraction to solve the integral.

Q: In (x + x²) dx

A: Given problem:- ∫ ln(x+x2) dx

Q: In(x+1)dx 8) S x2

A: Solve the following

Q: fin (x In (x + x²) dx

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Q: C. d. 2-x dx x (In 2-1) dx

A: Topic:- indefinite integration

Q: Find S x-2 dx Vx+3

A: Integration is the process of finding the anti-derivative function of the given function. A…

Q: dx Evaluate e x(Inx)3

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Q: Find d if y = In(x³/x + 9). dx

A: Known fact: ddxfgx=f'gx g'xddxfg=fg'+gf'

Q: If S x²+x-2 (x2-1)(2x-x²) dx AS + Bf f(x) dx + D f g(x) dx, then x dx can be resolved into A ...

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Q: 3 V3x x2 dy dx O 27 O 54

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Q: a. S(x² – 1)e*²-3x dx

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Q: S(Vcos x + sin x)´dx

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Q: 2. Find b such that dx 1+x2 3

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Q: iii) So z dx 1+x2

A: Given: ∫01 x1 +x23dx To Evaluate given integral Proof: We will evaluate the given integral by…

Q: (x In x)2 dx

A: Find ∫01x lnx2dx

Q: prove that d/dx xn=nxn-1

A: To proveddxxn=nxn-1

Q: Show that dx (a) - x² +1 2

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

Q: the integral (dx)/(xsqrt4x2+1)

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