(5) (sec-i x) =, d

Q: · (x−1)² √x d) f - dx =

A: To evaluate the following integral.

Q: 3 Evaluate 7x? dx 1 7 (Hint: f(x) = 72? and F(x) = a*) 3

A: The given integral is: ∫137x2dx Since, 7 is a constant, so take it out side. ∫137x2dx=7∫13x2dx The…

Q: (f) / sec“ y dy. tan5

A:

Q: g(x) = Vx 9) Dom: 10) Range: y -5- 5

A:

Q: y = (r² + 4r) e"

A: given question is solved with the help of product rule of differentiation    i.e. (f.g)' = f*g'+…

Q: (4) fxe-x dx

A: Given: ∫xe-xdx

Q: dt (tけ(ビーげ

A: we have to integration

Q: flx)=x =X-5 (x)= Find .f)

A: Here, the given function is: f(x)=x-5, g(x)=x2

Q: I still didn't understand.

A:

Q: (D'+3D+2)y=e

A: See the attachment

Q: Find when y = -5 (In(x))¯4

A: Explanation of the answer is as follows

Q: 3x + 2 10. Find the principal value of dx. (a² +9)(x- 4)x

A:

Q: orea Evaluate the definite integral 2 (9et + 8x)dx using Part 1 of the Fundamental Theorem of…

A:

Q: dx d. de. f(3x + 2)5 dx f sec²x

A:

Q: Q2-Prove that

A:

Q: Use geometry to evaluate (2x + 6) dx. -5

A: We know definite integral   ∫abfxdx represent the algebric sum of the areas between x=a to b and…

Q: (cosh ar +h)dr

A:

Q: 5 (b) f(x) dx 7 (с) f(x) dx 6. (d) f(x) dx

A:

Q: Solve F (t) = 1 + 2 | F (t- u) e " du. -2u

A:

Q: JA 1 dx. /4-

A: ∫14-x2dxFormula∫11-x2dx=sin-1(x)+C

Q: Evaluate f(3r2 - V5x + 2)dx.

A:

Q: A = - 1)³² dx - (x - 1)³dx + 5²0x

A:

Q: If u(x) = x3, then du = 3x2.

A:

Q: |(z + 5)(x – 7)dx Find + C

A:

Q: xy2 = 8 at (2,2)

A: Substitute x=2 and y=2 in the given function xy2

Q: Ssec? [sec(4x)tan(4x) dx (p sec (5x +3) dx e) f sin 3x + 1. dx 2x +4 f)

A: We will solve the following