2 *sinh“ x – sinh x+ cosh x dr -dx cosh¯ x

Q: sinA (1+cosA) prove that %32cosecA (1+cosA) sinA

A: we have to prove  the given statement

Q: (sin -(x/ 10) dx Evaluate the integral 2 100 - x

A: Given: I=∫sin-1x102dx100-x2 for evaluating given integral, in given integral we substitute…

Q: sinh x 1+ cosh x

A: sinh x1+cosh x

Q: sinh x – cosh x + ecoth x dx - sinh?

A: see below the calculation below and final answer

Q: Inverse Trig Integral Show the solution: dt = 2 Sin-1 VE + C Vt-t?

A: To show the solution

Q: True or false If cosh x = then sinh x=

A: We have cheek the statement

Q: 2 (sin -'x)²dx Evaluate the integral [(sin -'x) dx V1-x

A:

Q: ∫sin(8x)sin(x)dx

A: Solution:- =∫sin8xsinxdx Applying the Product-to-sum formulas,   sinxsiny=12[cosx-y-cosx+y]…

Q: 18. [ tan(In x)

A:

Q: 3. lim X-0 sinx sinx-cosx 4. lim x- 5. lim x(cosx-1) sinx-x

A:

Q: sin(x)=−0.2cos(y)=0.4tan(z)=5.5 sin(−x)= 0.2cos(−y)= 0.4tan(−z)= -5.5 What does…

A:

Q: sec (In x) + sec2(In x) tan(In x) 2х Given: dx Find: du tan(in x) 2х sec³(In x) + sec²(In x) sec(in…

A:

Q: sin 2x+cos2x+1 1- Prove cot x sin 2x-cos 2x+1 2- Sinh (u-v) = Sinh u.Cosh v - Cosh u.Sinh v %3D

A: Evaluate the following 1-prove sin 2x+cos 2x+1/sin 2x-cos 2x+1=cot x 2-sinh(u-v) = sinh u.cosh v-…

Q: lim x----->0    sin x sin 2x/1- cos x

A: Given:-  limx→0  sinx  sin2x1-cosxTo find:-     value  of the above limit.Concept:-  Use 'L Hospital…

Q: Use identities to simplify each expression.

A: cosxsin2x+cos3xsecx=cosxsin2xsecx+cos3xsecx=cos2xsin2x+cos4x…

Q: SIn (-x) In x if x 0

A:

Q: Fourier series f(x)= x sinx 2 xe (7)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: (sin æ)(1 – cos æ) lim COs x x→0 x2

A:

Q: 1. sin (-x)(sin(-x) + 1)

A: Given; Sin(-x)[Sin(-x)+1].

Q: (Integral sign) tan^2 x cos^3 x dx

A: The given integral is

Q: sechx+cshx b) prove that e2x cshx-sechx

A:

Q: Prove the identity. cosh(x) + sinh(x) = e* cosh(x) + sinh(x)

A: The solution of the problem is given in the next step.

Q: lim x→pi/10  tan(48*x) lim x→0+  sqrtx*e^sin(pi/x) limx→0  x^2*sin3/2x

A: Given the limit :

Q: sin x COsx Prove 2tanx secx - - cosx 1+ sin x

A: We use the identity sin2x + cos2x=1

Q: Integration of b/1-sinbx dx

A:

Q: cosh x sinh x dx 2 (cosh x + 3)

A:

Q: Topic: Integral of Hyperbolic Function ∫(sinh(x) + cosh (x))^2

A: Given- ∫sinhx+coshx2dx To find- The value of the integral. Identity Used- The above integral can be…

Q: Show that

A: Given: verify that secx=sinxcosx+cosx1+sinx for verifying given identity, we solve left hand side…

Q: sin x COS X Show that secx = then use the identity to derive the basic integration rule sec x dx =…

A:

Q: Find the limit

A: Given limit can be written as Dividing both numerator and denominator by , we get

Q: 4. lim 0 sin ar 5. lim 0 sin br

A: From the given data:

Q: Limit as x approaches 0 of Sin(5x)/(2x

A: Limit as x approaches 0 of Sin(5x)/(2x

Q: Intergal of (sinh x) / (cosh x + 6) dx

A: To find  Integration of (sinh x) / (cosh x + 6) dx

Q: sine 2. Determine whether the improper integral -d0 converge or diverge. V1-2 cose Hence evaluate…

A:

Q: sin 2x+sin x dx Vsin2x -cos x v.

A:

Q: [sinh4dx 11. cosh2x

A:

Q: prove that cosh^2x-sinh^2x=1

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: cos(x (*). cos(x + h) – cos x cos h – 1 sin h - - sin x · h COS x h h

A: Require to verify the identity cosx+h-cosxh=cosxcosh-1h-sinxsinhh

Q: 3) Find the expention of sin³ 0 4) Proof that: cosh iz = cos z 5) Prove that: cosh² z - sinh²z = 1…

A:

Q: sin 7x dx 1 1 sin dx x cos² x 2 | (tan x + cot x) dx

A:

Q: sin 2x + 2 arctan (k) lim x→0 In (1+ 3x + sin 2

A: Introduction: So, according to L'Hospital's Rule, if we have an indeterminate form 00 or ∞∞, all we…

Q: ∫ sin3 (x / 2) cos (x / 4) dx

A:

Q: 1. ,sinx cosxdx

A:

Q: INTEGRATION OF 1/1+TANX

A:

Q: π 6. tan 2x dx

A: ∫0π6tan 2x dx

Q: sin(3x)-sin x - cot(2x)= cos(3x) - cos x

A:

Q: Sin (3 x) Sin (3 x) dx

A:

Q: sinh (2.Inx) n(coshx+Sinhx)+in(cashx-sinh x).

A: We have to rewrite the given expression by using the exponents.