Convert the differential equatim Inte c System and Solue the sustem: T0-20+3),=D0

Q: CALCULATE (16t³, –9t², 25tª) dt.

A: To evaluate the given integral- ∫01(16t3,-9t2,25t4)dt Here we will use the following integration…

Q: 12 K M 16 J

A:

Q: exp(iz) = 1+ iV3.

A:

Q: Integrate: 6 4 / ( 62² + 5 = = 2 + + 7/12 - 02/1) dz - dx I + C

A:

Q: 2x -x 2 x²-p²x¹ dx

A: Differentiation

Q: 4 (1+2 In x)* 6. J dx б.

A: We have to find

Q: dxdy Vy X'

A: Given: ∫01∫yy21y2-x2dxdy

Q: V64.3

A:

Q: Rearrange the equation to isolate (a + b) (d_e) = f a

A: (a+bc)(d-e)=f(ac+bc)(d-e)=f

Q: x²e-x² dx #2³ J = Ji

A: Gamma function

Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: 2x³-4x-8 2. S; dx (x²-x)(x²+4)

A: Topic:- integration

Q: Which of the following is equivalent to u=-cost+v3 sint ? a) u = 2 cos t +- 1 b) u = – cos| t+ 2 3…

A:

Q: JA 1 dx. /4-

A: ∫14-x2dxFormula∫11-x2dx=sin-1(x)+C

Q: Find the area blw y=5-4x and -x2+45 round answSer to 2 decimal places

A:

Q: Find dt

A: We have to slove derivative

Q: sin(2x) cos(2x) dx 1+ cos(4x)

A: To evaluate: The integration of ∫sin2x·cos 2x1+cos 4xdx. Formula used: Trigonometric relation: 1+cos…

Q: Consider 2a – 3y² = 8

A: Differentiate wrt x

Q: メ+4 dx x²+4

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

Q: Integrate both sides dy = -dx

A: the given integral equation is                             ∫1y2dy=∫1xdx

Q: find dp/ dq. sin q + cos q = cos q

A:

Q: Integrate: IZ+x dx Cos(l+se)dt

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Q: (D³ + 3D² - D - 3)y = e4x + 5 ID3 an?

A:

Q: dr 4 – z Integrate:

A: The given integral,∫54-x2dx

Q: || д хр -XS - 7

A: NOTE: Refresh your page if you can't see any equations. .

Q: 6 ýx In x=y

A: