Using Beta function, show that dx 3- (b – x) (x – a) |

Q: Differentiate y = Væ + Vx + Væ. y =

A: We need to differentiate the given y with respect to x

Q: Illustrate local linearity for the function f (x) = xsinx at x = l.

A:

Q: Evaluate: d/dx [(x/7) + 7]

A:

Q: Find the intergral of 2xsin(x²+1) dx Please make it step by step

A:

Q: sec? (1/x) dx. 9: (16pts) Evaluate

A:

Q: Example:Find a²y as a function of t if x = t – t2,y =t-t3. dx²

A:

Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: (cosh ar +h)dr

A:

Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)

Q: y-Castesinz şinz

A: The detailed solution is as follows below:

Q: Evaluate x(x2 + 1)3 dx.

A: Given ∫x(x2+1)3dx

Q: 1 dx x²/4+x²

A: to evaluate the given integral

Q: Evaluate x +1 dx x2 (x – 1) - 2.

A:

Q: X (2x +1) ax wing u- technique

A: To evaluate the integral: ∫x2x+12 dx Solution: Integration by parts states that: ∫uv dx=u∫v dx-∫u'∫v…

Q: 17x + 31 -dx J (5х + 4)(ӕ — 5) Evaluate

A: Given,            ∫17x + 315x + 4x - 5 dx

Q: Let f (x) = 2x* – 3x3 + 5x + 1. Find the value of df-1 at x = 1. dx

A: We have given function;