lim, 0 tan² (7x) cot(11x) (r+7)sinx

Q: limg-0 2x sinx 4-4cosx

A: We can find the limit as below, using L'Hospital rule.

Q: S(1 + sinx)-1sinxdx

A:

Q: Determine 3 sec(9x) tan (9x) dx

A: We have to determine the value of integral: ∫3 sec 9x tan 9x dx Solving given indefinite integral by…

Q: - sinx) dx 2. 1. (COSX (ax' +b)*x dx 2. 2/3

A:

Q: dx sech x (3 +5 sinh x)

A: Please see the explanation below.

Q: Salve for x if Arc tan (1- x) + Arc tan (1 + x) = Arc tan

A: Our Aim is to solve for 'x' if tan-11-x+tan-11+x=tan-1x -(i)

Q: Evaluate sin dx

A:

Q: -1x) dx

A:

Q: sin 3x dx 3-10cos3x 10.

A:

Q: sin 2x (1 - 2 cos 2x)? dx 6.

A:

Q: , 8 tan² (2x) dx

A:

Q: Vx+1- /2x x² - x 2х f ) lim x→1

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: 2r sin 1 (r²) d»

A:

Q: Using appropriate substitution, [sec (2x) + 1] tan(2x) dx is equal to

A:

Q: (tan 4x + sec 3x) dx

A: Answer is mentioned below

Q: -22 (sinhx+coshx) dx

A:

Q: Ja (1 – sinx)3/2 (1+ sinx)²dx"

A: If , then the independent variable x is called the input of the function and the dependent variable…

Q: [1] sin3x Asinx – Bsin³x, find A and B. -

A: Explanation of the answer is as follows

Q: find x sin-1(1-x)-2sin-1x=90 degree

A: sin-1(1-x)-2sin-1x=90 degree

Q: lim, 0 6 tan² (5x) 15x²

A:

Q: 9. sec(1- x) tan(1 – x) dx

A:

Q: sec² (x) tan° (x)dx

A:

Q: tanx sec² x.dx COS X √√2+ sin x dx

A:

Q: L{2tcos2t + sin2t}=

A: The Laplace transform of a function f(t) is given by;

Q: y = Secx ( sinx+ Cosx)

A: Given, y=secxsinx+cosx And we have to find the dydx.

Q: 3 sin³ (tan √x² + 3x²)] dx d [(x²+1) cotx dx 3- cos x csc x

A: To find the following derivatives.i ddx3 sin3tan x2+3x2ii ddxx2+1 cot x3-cos x csc x