y = V1 -— 2х

Q: Calculate: fx²e³dx

A:

Q: y712Y=-5

A: Using factorization.

Q: dx 8 — 2х — х2 5.

A: Given, Note: asinx represents sin-1xacosx represents cos-1x

Q: Find å · 5 for å = (4,1, and 5 = (6, –3, –8

A:

Q: y3vu+ 2u and u= x - 3

A:

Q: dx Find xVx+x+2

A:

Q: S(x - 2x –1)dx – 2x-

A: In integrate by using formula for general case.

Q: Cos2 10x d 8.

A: The integral is given by,

Q: Write y=2(0.5x-6)(6-24x) in the form y=k(x-r)(x-s) and give the values of k,r,s.

A: We have to factor out 0.5 and -24

Q: 1 dx = .2 X--4x

A: We need to evaluate the integral ∫1x2-4xdx Now, we complete the square of x2-4x in the denominator.…

Q: 2+ 1 2 dx 5+ 22 — 4х - 12

A:

Q: ydx-rdy 22+y? Solve dx

A:

Q: [e³(5e* + 8) 6 dx.

A: see below the answer and calculation

Q: 2.

A:

Q: 3x dx Vx² - 12x+5

A: ∫3xx2-12x+5dx   Let 3x=λddxx2-12x+5+μ   On comparing the co-efficient of like powers of x, we get…

Q: Solve for y X2 =9e?y

A: Given: x2=9e2y As we know that the exponent rule: lnm=x⇔m=ex So, we can also write as:…

Q: x²dx a. V2x-x2 x2 dx b. 1-х6

A:

Q: Evaluate:

A: To Determine: Find the integral

Q: (3 2X +2X +2 dx x²+2x=x -2

A: As per guideline we have to solve

Q: ∫t4(t5−2)3dt

A: We have to solve

Q: y=xlnx−x

A:

Q: 1 dx 3. -9x2 – 2

A:

Q: (15x - 8) 226

A: Given,

Q: 5 -dx 1+ x2

A: