(s E start A(17 (4) F(2) H(4) D(3), I (3). K² O G(s) ↑J(3) L(₂) pend

Q: cos4t-cos2t 12. F(t) = %3D t

A: Given that F(t)=cos 4t-cos 2tt The formula for cos 2t is cos 2t=2cos2t-1 Now, cos 4t=cos 22t…

Q: d -(3x² + 11)e¬ª at x = –1. dx Evaluate

A:

Q: -7 dx (x – 2)(x2 + 4)

A:

Q: (c) 5.⁰ re3d. (d) L₁ 1000e* dx

A:

Q: -(3x² + 10)e¯= d Evaluate dx (3x² + 10)e¯ª at x = 0. d (3x² + 10)e dx x=0 II

A:

Q: (e + x + 2)dx 3.

A: The sum rule for integration states that ∫fx+gxdx=∫fxdx+∫gxdx. The integration formula for…

Q: |(x – 3) V/6x – x²dx b. TIn(x)dx с.

A: The given question as belonging to the calculus in which we have to find the value of the given…

Q: dx If |h(0) de, then h(e) d0 : (4+x²)³

A: Given, ∫dx4+x23=∫hθ dθ

Q: S3 (6f(x) + 4) dæ = 3, then S f(x)dæ = 7

A:

Q: 1 2x Evaluate [(4x-7)ay dx.

A: To evaluate: ∫01 ∫x22x (4x−7)dydx Let I=∫01 ∫x22x (4x−7)dydx First evaluate with respect to y taking…

Q: So S5(xy²) dxdy ,2' 13

A: Use power rule of integration

Q: D7. Determine the oscillation of "-tx² + x = 0.

A:

Q: (d) d.x (x-3)2/3 1.

A: The given question is from the topic of Integrals

Q: (2y* + 42) dx = (6² – 2xy²) dy -

A:

Q: g(x)dx = (5x? +2)° +C

A:

Q: Find dx2 d²y if x = 3cos4t and y = 6sin4t. %D

A: Eliminate the variable t and form a equation in x and y only than take two times derivative.

Q: O Find (a) |VT-x)/x dx, (c) (4-x*y² dx. Ans, ía) 1/60, (/) x/2. (c) 31

A:

Q: (3 – |x – 3|) dx

A:

Q: |x² – 2|dx 1-3

A: Given: ∫-35|x2-2|dx   =∫-35x2-2dx      (using positive measures we omit the modulus signs)Formula:…

Q: As a → 1 what happens to the value of f f(x)dx?

A: As a →1 what happens to the value of ∫1af(x)dx.

Q: L{tcost + sint} 3. 2s a. (s²+1) 2s b. (s²+1)² 2s² C. (s²+1)² 2s² d. (s²+1)

A:

Q: e2" – e5r dr dx b)] Jx (1 + x) + e3r

A:

Q: 5. (x² + y²)dx – 2xy dy = 0 -

A:

Q: IF f(x) = 13sin(x)-8e*. Calculate: df(x) dx =

A:

Q: 6. 3(у + 1) dx %3D 2х dy

A:

Q: dx S x(1+(lnx))²) 2.

A: This question is related to indefinite integration, we will solve it using given information.

Q: b Find 60 such that - So (x − 1)dx = b == = 0.

A:

Q: dx x (1+a2)

A: As per our guidelines only one question can be solved. Please find the solution for 1st question…

Q: dx 43. Evalua Jx +2)(x² +4x + 10) te

A: To simplify this integral, we use partial fraction decomposition. Thus,…

Q: ㅇㅇ Sxe 0 2 -2x² dx

A: The given integral is ∫0∞x2e-2x2dx. Improper integration states that a definite integral with…

Q: 3 dx%3D 2 (x-1)(x+2) Select one: a. In(5/2) b. -9/20 c. In(8/5) d. -33/20 e. In(2/3) 3.

A:

Q: In Problems 5-12, use computer software to obtain a direction field for the given differential…

A:

Q: d y Find dx? |(-1,2) if x² + y' = 9

A:

Q: (a) / | Va? (а) /a² + x² dx

A:

Q: /16- y? (x² + y?) dx dy 0 Jo

A:

Q: Assume the following: f(x) dx ce. ƒ(2) dx = 2, ª f(z) dx = 3, 9(z) dz = -1, and + [°²9(2) ² = 2, […

A:

Q: dy Suppose ба2 + 4 and y(2) — 4. %3| %3D dx What is y(5)? О у(5) — 290 О у(5) — 270 О у(5) — 250 =…

A:

Q: Find the values of a and b such that a = b + [¹ f(x) dx − [*f(x) dx = f*f(x) dx. - 11

A: Given,

Q: 34 dx (г - 2)4/5 (x)

A:

Q: 人p dx find メP 4. Y= 3*J5x+7

A: