Mroset Whiteboard EX2: 3リ-17

Q: ~3 1 (c) dx (x 1) 3. -

A: Given query is to find the integral.

Q: In(n) 9. Σ=1 n3 Integration by panss

A:

Q: [eln ax - 2x log(x² + a)]dx 3.

A: Given: ∫eln ax-2xlogx2+adx To Find: Value of the given integration

Q: 1 dx xV9x² + 4

A:

Q: 2x -x 2 x²-p²x¹ dx

A: Differentiation

Q: Edisk = 1 4περ 2πστ Ꭱ r (r² + 22) 3/2 dr.

A: Edisk=14π∈02πσz∫0Rrr2+z232dr

Q: The length-weight relationship for the sei whale can be approximated by W = 0.0016L^2.43 , where W…

A:

Q: 5dv 7e +3

A: The given integral is 5/(7e-v+3).

Q: x²e-x² dx #2³ J = Ji

A: Gamma function

Q: xdy − ydx = x^2dy, Solve for D

A: We can solve the DE as below

Q: Solve yuyx - Ux=4/x

A:

Q: Solve for 'x' :  9.2x-1= 2.3x

A:

Q: Solve the formula for the variable t   h= 1/2gt^2 *Only the t here is squared

A: Given the data

Q: Solve this equation for x:  4^x + 2^x - 12 = 0

A:

Q: Solve the equation (x^4 + 2y)dx - xdy = 0

A: I am attaching image so that you understand each and every step.

Q: Suppose there is a currency which only uses 3-cent coins and 7-cent coins. Prove that for all…

A:

Q: dy Зу (x + 1)+ dx x+1 2.

A: First i i have find the integrating factor and the general solution.

Q: please solve for only the last part i.e R(A^T).

A: We have to solve given problem:

Q: dx xVVx - 3

A: Given integration, ∫dxxx-3

Q: Show that the statement (Væ P(x)) V (Væ Q(x)) → Vx (P(x) V Q(x)) is a tautology. Show that its…

A:

Q: find the exact solution 40=3(1.15)^t

A: Given query is to find the value of t.

Q: メ+4 dx x²+4

A: Given:       ∫x+4x2+4dx      =∫xx2+4+4x2+4dx Apply linearity:      =∫xx2+4dx+4∫1x2+4dx

Q: Solve for x in the following equation: 2x = 1/2 (3 + 5^2)

A:

Q: Simplify (5x'yz)

A: Given, (5x3y-2z4)3

Q: Solve the following equations for x: ex ^ 2 = I

A: Explanation of the answer is as follows

Q: Solve for z. (2-i)z+8z^2=0

A: Given equation is, (2-i)z+8z2=0

Q: Mon Apr 26 Adobe Scan Apr 26, 2021 (1)... Page 4 of 12 Q Q HD Find baves for th fam fundomental…

A: We have to find basis for the row space of AT. It is equivalent to column space of A.

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.