Var(X)=E([X-Hx])² صواب İhi

Q: f(x) = x ln x

A: In numerical analysis, Newton's method, also known as the Newton–Raphson method, named after Isaac…

Q: (21 + V3)/3 11 dx Evaluate 50 + x - 14x

A: Explanation of the answer is as follows

Q: Svi-x2 1-x2 dx

A: We will solve the problem

Q: ction f(x)=-

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Q: klax=5 and gk)dx = evaluate {12/(x) +6g(x)}dx =

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Q: 3x +2 J. - dx. (x² +9)(x– 4)x 10. Find the principal value of

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Q: .2 x+3 Evaluate / -dx (x+1)(x²+1)

A: Given integral, ∫x2+3x+1x2+1dx

Q: How do you multiply

A: Given radical expression is,

Q: 5. f(x)=xe" , find fInx. f'(x)dx .

A:

Q: Second derivatives Find d2y/dx2 for the following functions. y = 2x2 + 2

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Q: Find d2z/dxdy of z=ln(x2-y)

A: Partial differentiation with respect to a variable of an expression is carried out by…

Q: Second derivatives Find d2y/dx2.

A: 2x2+y2=4

Q: .4 -1 sec J2 Evaluate x dx

A:

Q: 1. f³₂ (x² − 3) dx -2

A: Given: ∫-23x2-3dx The limit definition of a definite integral is ∫abf(x)dx=limn→∞∑i=1nfciΔxi.…

Q: g(x) = (cosh x)* %3D

A: Given:       To determine: derivative of g(x)

Q: V3x-e2x-(x ln x)(ln(ln x))| In(ln x) Given a function, y = dy Show that dx V3x-e2x (x In…

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Q: dx x(1+ln² x)

A: Given : ∫dx/x(1 + ln2x)      .....(1) Let ln x = t Differentiating both side w.r.t. x 1/x = dt/dx dt…

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: lim sin(x)dx (x² + e²)²

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Q: x3 dx J4- x4

A: ∫x3dx4-9x4Multiply & divide by -36 =-136∫-36x3dx4-9x4since, ∫f'(x)f(x)dx= 2f(x)

Q: T Shift Ctrl -3 S x²4x +3 2 1 X(X + 1)² dx

A: First we take partial fraction then integrate.

Q: s x3 √1-x² V dx

A: Given: I=∫x31-x2dx   ...1   As we know that; The Power rule; ∫xndx=xn+1n+1+C

Q: derivative h(x)=x^(1/2)*(2+x)

A:

Q: Find df^-1/dx for f(x)=x+3/2x+5 at x=3

A: The given function is: f(x)=x+32x+5 Let g(x)=f-1(x). So,…

Q: X 3- Ssin ² x dx ។

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Q: sin nx |x| 1 f(x) = 0 g(x) =

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Q: 3) dx Evaluate : J4x (x² - 3)° dx

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

Q: x2 8. Use the Integration Tables find f dx (2x-7)2

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Q: Second derivatives Find d2y/dx2. 2x2 + y2 = 4

A: To findd2ydx2of 2x2+y2=4

Q: 9. [f(x)dx -1

A: Find the integral from the given graph

Q: -1)/(x4))1/2

A:

Q: 10 If f (x) dx -7 and f (x) dx = 1 then determine -3 -3 10 [1- f(2) dz 5 showing working.

A: Given: ∫-35f(x)dx=-7 and ∫-310f(x)dx=1

Q: f(x)=5 sinx-x-1, x = 1.8

A: Given,        f(x)=5sinx-x-1, x0=1.8

Q: f(x) = (2x2 – 5x)ln(x² – x) f'(x) = ?

A: Product Rule ddx(h(x)g(x))=ddx(h(x))g(x)+h(x)ddx(g(x)) Chain Rule ddx(h(g(x)))=ddhu(h(u))ddx(g(x))…

Q: V3 1-x dx V1-x2 0.

A: We can find the solution as below

Q: cosh-1 x dx CO: хах

A: Let the given integral be y - y = ∫cosh-1x dx y = ∫cosh-1x1 dxIntegrating by parts - y =…

Q: x² dx. Evaluate: /2x3 -1 -1

A: We have to evaluate the integral

Q: Lsgn(x- 2)dx = 1. 0 2. 2 3. -2 4. -1 1 2 0 4

A: Integration of Signum function

Q: | (e-x + vx)dx 1. 2. x²)dx

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Q: d -(cos(x² – 2x)) dx Evaluate

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Q: x2 dx. x +1 Find

A: Let I=∫x2x+1dxPut x+1=udx=duI=∫(u-1)2uduI=∫u2-2u+1uduI=∫(u2u+-2uu+1u)duI=∫ u32du-∫…

Q: 2x Evaluate dx using suitable technique. (x² +4)(2x-1)

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Q: Transforming S dx secx + 1 using miscellaneous substitution

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Q: Derivative of: xn+1/ n+1 + C

A: Given, xn+1n+1+C. It is differentiated as follows: ddxxn+1n+1+C Take n, C as constant. Apply the sum…

Q: ' 7 cosh (x) dx = 1

A: We have to evaluate the integral ∫197coshxxdx

Q: 3π f (x) = tan (x + with h 3 at x = || - 4 180

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Q: (5) f (3x² + 2x)e5+3x dx (6) ſ dx x(3 + ln x)

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Q: ppose f(x)= -cosx-4). Evaluate dx

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Q: 3. dx 6X dx VT-x2 1-x² Et2

A: