Solve numerically the integral e**dx ´dx by: (1) Trapezoidal rule with n = 4 (ii) Simpson's rule with n = 2

Q: 14 نقطة Q) Find dy/dx of the following * :equation (x² +x)(x' - x +1) y: dy/dx = -3/x^4 O %3D dy/dx…

A: Given y = x2+xx2-x+1x3y = x4-x3+x2+x3-x2+xx3y = x4+xx3y= x+1x2

Q: use trapezoidal rule to numerically integrate f(x) = 8x + 5 sin(x_ from o to πL. 1. Show your…

A: Given that  function  f(x) = 8x+5sinx   from limits 0 to π First we will integrate it by…

Q: find the general solution of  xdy/dx+4y=(sinx/x)*(sqrt of y)

A:

Q: • A) Ln(y²+1)dx+ 2y (х-1) y²+1 dy = 0 B)Y = x/1-y2 dx C) xdy-ydx-x²y'dy=0 %3D 1+x2

A:

Q: Solve DE (1+e** )ax +e x/y 1 dy=0

A:

Q: f (x) = arctan(e") ad f'(-1) =? find %3D 28 - O A) 1/(e+e3) O B) (e2)/(1+e2) (e2)/(1+e) O D) e/(1+e)…

A: Explanation of the solution is given below....

Q: b) Evaluate: i) Sx(V ++x) dx -2 10 dx ii) J1 x(10+Inx)³ jii) Jo 1+x? dx

A:

Q: Calculate dy/dx. You need not expand your answer. y =x2.3/9+2/x2.3)(9x − 1) Answer ----->dy/dx:…

A:

Q: e" dx Find (ez +3)(e –5) Find S In(x)x²dx.

A: The first question can be solved using the concept of partial fraction and the second question can…

Q: 3. Solve e*³ (3x

A:

Q: In integrating the function fx* in Sx dx using integration by parts, what would you choose for your…

A:

Q: Once you hit the p.i = ... What is the Yp solution you are following to apply the 1/d^2 +4…

A:

Q: (2xe + e*)dx + (x² + 1)e'dy = 0

A:

Q: dr(sec'x) dx

A:

Q: dy Q4 Solve (1+ x)- xy = (1+ x)* e* .

A:

Q: 1-f²₁ ¹/²(y² sinx dx dy) 2-√²-dxx2 0 3- f(cscx cotx)² 2 4- f₁² x (x − 3)dx for 5-S²₂ (x³ + √x) dx

A: 1.

Q: dy of y = sin(3x² + 5x – 4) * In(e*) is dx

A:

Q: äbäi 14 Q) Find dy/dx of the following :equation (x' +x)(x° - x +1) y = 17 KB/S dy/dx = - 4/x^2 O…

A: We use the Quotient Rule and  Product Rule of differentiation to find the answer of the given…

Q: dx by Q3) Evaluate the integral o togsinx trapezoidal method (use h=1)

A: Given: I=∫03xlogsinxdxby using Trapezoidal Method (h=1)