2dt (t – 3)vt² – 6t +5

Q: 4 r°tan|r (r*)dr 4 5+3 ln cos (r

A:

Q: Solve: 7[(2x – 5) – (x + 1)] = (V7 + 2)( V7 – 2).

A: Our Aim is to solve:-72x-5-x+1=7+27-2On solving:-72x-5-x-1=72-22⇒7x-6=7-4

Q: x1 J: (x2+2x)2 dx= (x2+2x)3 C (x2 2x)3 C + 3 (x2+2x)3 +C 6 22-1C + -2 2x)1+C

A:

Q: when y = In(2x – 4x). -

A:

Q: (x + 2)2 + (y + 1)2 =

A: Use the formula a+b2=a2+b2+2ab (x+2)2=x2+22+2(x)(2) =x2+4+4x Also, (y+1)2=y2+12+2(y)(1) =y2+1+2y So,…

Q: x² + 4x - 4

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Q: (2х — 8) dx 2 х — 8х + 25 X

A:

Q: Evaluate 3 (9x² – 2x + 1)dx 1

A: Given:∫13 9x2-2x+1 dxIntegrating formula:∫xn dx=xn+1+C

Q: a) [(5x4 + 3x² + 2x + 4)dx b) [(Vx² + 7x)dx

A:

Q: 1 x+1 ST (2y-2)dydx Evaluate 0 °0

A:

Q: 2 15х? -13 dx - 14х За +2

A: We will apply long division to solve integral

Q: (3x/5y) (y2/6x)

A: The given expression is                                     3x5yy26x Now we simplify this given…

Q: (t+6)2 dt

A: Given,

Q: (2i-9)2

A: We need to simplify (2i – 9)2 and express in the form of (a + ib). We can rewrite  (2i – 9)2 as (2i…

Q: V9 – 4x2 dx

A:

Q: (24+2x-x2)1/2dx

A:

Q: xy – 3y + 3x² – 9x =

A:

Q: Evaluate az+1)in(d.r+1)dr. 1 dx.

A: The integration function is ∫14x+1ln4x+1dx

Q: +j =6- d 5x+(/x + %3D dx x² 2.

A:

Q: Evaluate 9x 9 (2x - 3)(x + 3) T -dx +C

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Q: 2dx x √x² 3√x² 2

A:

Q: Find * L-1{ 52-4s+13

A:

Q: (2x-4y)dydx 3.

A:

Q: 3 ν1+ x2 χdx

A: ∫fxnf'xdx=fxn+1n+1,n≠-1

Q: Form PDE: 2z = x2/a2 + y2/b2.

A: In the given question we have to form the PDE from the function…