Let [ ·] represent the greatest integral function less than or equal to n tan x n sin x x. Then, find the value of lim

Q: Jse the Substitution Method to evaluate the definite integral. * (In x)* dx

A:

Q: The tan (x) function can be differentiated using the product rule. true or false

A: The tan (x) function can be differentiated using the product rule.

Q: √x² - 4 ·S x dx.

A:

Q: Using the definite integral, calculate: n 2 3 lim + 2(;) i=0

A: See the solution.

Q: E Discuss "The Continuity of y = Sin T

A: We check continuity of given function at x=1

Q: Find the indefinite integral

A:

Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A: Given that the integral ∫-20x2ex32dxNow,I=∫-20x2ex32dxsubstitute…

Q: sec? x etanx dx c² x e tan x dx V1 + etan x

A: Given that ∫sec2x etanxdx1+etanxWe need to evaluate the integral by u substitution.

Q: IAND+X (where r is characteristic function) ulgo C

A: I will use the definition of characteristic function.

Q: Find the nth order derivative of the power function y=xm where m is a real number.

A: