dy Find for the equation ex+y² = x. dx 3-x [A] [B] ³ xy 1-x 2xy [C] 1-2x xy [D] 2-x 2xy+e [E] 1-x xy

Q: 5x + 6x dx. Find х - 1

A:

Q: Find ∫√(2x − 1) dx.

A: Given:

Q: Differentiate the function below. y= (x2 + 4) (x² – 2) 8 d [(x? +4) (x² - 2) ® _ = O %3D dx

A: Ans is given below

Q: 7. Use substitution to evaluate ſ 2x(4 – x²) dx.

A:

Q: dx 0 (x-2)3

A:

Q: dx x2/3

A: ∫dxx-x2/3=∫dxx2/3(x1/3-1)

Q: So 0 xe- dư x²

A:

Q: dy dx for A B y=23√x²-3arcsin(x³) True False 2 9x² 33/x /1-x6

A:

Q: dx +1 3. Evaluate x+1

A:

Q: v5-x dx

A:

Q: d 3 Evaluate dx √√In(6 - x²) at x = 1.

A: −15ln(5)32​2​Explanation:

Q: dx X +T 2. 3.

A: Given ∫x32x3+πdx

Q: 1-x dx (x- 3Xx-2)

A:

Q: x3 dx х2 — 2х + 1

A: The given question is taken from the calculus in which we have to find the integral of the given…

Q: find dy. y =2√x/3(1 + √x)

A: we have to find the derivative y=2x3(1+x)

Q: 5 x´ - 9 -9- +2)x dx X 5.

A:

Q: Find ∫sec2 (5x + 1). 5 dx.

A: we have to find the value of the given indefinite integral. ∫sec25x+1·5dx

Q: 9. x² dx (1 – x²)3/2

A: Let's find.

Q: 7x2 + 15 dx. x2 + x Compute f

A:

Q: (d) dx x 2 -1 2.

A:

Q: 1 dx x² + 6x + 9

A: We have to evaluate the integral: ∫1x2+6x+9dx Rewriting the integral,…

Q: (c) Evaluate 0 √3x - x² dx.

A: Given: I=∫033x-x2dx   As we know that; ∫cosax+bdx=1asinax+b+C

Q: Find 2 dx 5 8x y= YP 5 - 5x

A:

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

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

Q: 1d²½ of y=x²-x² dx Find

A: We have to find the double derivative of y with respect to x

Q: 2x -9 9. Find +4x+13 dx.

A: Given:     ∫2x-9x2+4x+13dx            write  2x-9 as 2x+4-13 and split…

Q: 2— х dx I x2 – 4x

A: A proper fraction is one in which the degree of the numerator is less than or equal to the degree of…

Q: Find ∫ √(3 − 5x) /2x   dx.

A: Consider the given integral, ∫3-5x2xdx substitute 3-5x=u ⇒ dx=-23-5x5 ∫3-5x2xdx=2∫u2u2-3du now,…