[[sin(x +y )dxdy= D:0SxS1-y;0sys1

Q: Evaluate f x'V 1+4x² dx.

A: Consider the definite integral ∫01x21+4x2 dx to evaluate this, first evaluate the indefinite…

Q: d) sin (x)e3*+ dx dx

A: The given integral is definite integral because limits are given.  So integration value will be a…

Q: Evaluate (3x² - 7x) cos(2x) dx

A: To integrate the given integrand.

Q: (2xy-3x²) dx + (x ² + 2y) dy = 0

A: As we know that; The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution…

Q: Tx3 – 2Vx2 + 6-1 Using basic differentiation rules, find Da (2x3 – 4) (3x-2 – 2)

A:

Q: 2 2 V1-x 1-х

A: ∫un du = un+1n+1+C ∫cos(au) du =1asin(au)+C

Q: Solve S(cosa{x – +)<(1 + +) dx -

A:

Q: sin(In()) dar.

A: We use integration by parts to find the value of the given integral. If f(x), and g(x)  are two real…

Q: 2x3 + 4x – sin x - dx = 0 х2 — 7 a

A: Consider f is any function defined on the interval [-a,a] .Then f is  even if f(x)=f(-x) for all…

Q: a) Integrate the following functions i. (-2x² – 9x – 7)dx (4x* – 9)* (20x“ )dx. [-4e"dx ii. iii.

A:

Q: Determine for the following function: dy dx y=xヤ ヤャ (3lnx) 十++ 2(3lnx +1) ++e (3lnx + 1) 2(3lnx)

A: dy/dx = ?

Q: Find: Sx³. (x* + 2)3 dx

A:

Q: 3. Evaluate f x sin2 (x²) dx.

A: Given I=∫x sin2x2 dx To Find I

Q: Differentiate the following function. 6x2 +5 y = x2 +1 dx (x² + 1)< dy (x² + 1) • : (6x² + 5) + (6x²…

A: You just need to apply quotient formula in order to solve this.

Q: f(sin (6x))³ dx

A: According to our guidelines, we can answer only one question or the first three subparts of a…

Q: cos 2x 6. 4

A:

Q: Evaluate tan x (t² cos 4t-3) dt dx Jo

A:

Q: 1. Evaluate dx sec2 x (a) Ja(x+ 4) (b) A. dx V1- tan?x VT(x + 4)

A:

Q: Derive y: x+, y = (sin((x² – x)*))x²+x %3D

A:

Q: Evaluate cos(x) - 1| dx.

A: