sinh?, sinh x + cosh x dx - cosh? 2

Q: (Integral sign with Pi/2 on top and 0 on bottom) sin^7 theta cos^5 theta dtheta

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Q: sinhx dx=.. ...+ C Select one: coshx, coshx O cosh x-2- (1-cosh?x) (cosh2x-1) 3. cosh x cosh5x X. O…

A: Given: ∫sinh5xdx

Q: sin'x+ tan?x + cos x = seck Gase seck (Sinx) (tanx t cotx)= secx

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Q: x + y x - y cosh Show that sinh x + sinh y = 2 sinh

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Q: cosh z sinh dz (cosh z+3) 2.

A: To evaluate the given integral.

Q: lim x→0 (sin10(x)cos(8x))/x=?

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Q: /4 18. sec (0) tan (0) do

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Q: sin 2x What will be value of integral dx ? sin + COS 2

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Q: s Sinx Cosy 1-Sin" x elx

A: To evaluate the given integral.∫sin x cos x 1-sin4 x dx

Q: dy - x = x2 siny dx 3 -2 =-(-siny +cosy + Ce-y/?)*? ANSWER: x = + cosy + Ce

A: We will find out the required solution. Kindly note that there is misprints in question which has…

Q: sec(2x)cot(2x)dr sin(x)cos(x)

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Q: Ln(2) Sinh(x) Cosh?(x) dx

A: Given : Limit 0 - ln(2) with function Sinh(x)Cosh2 (x)

Q: sin 2x dx 1+ sin “ x SI

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Q: Using an appropriate substitution, cos x-sin x the integral 3. dx equals: 0 cosx+sin x O none of…

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Q: sech? (In x²) 15. f x/6 tanh (In x²) – tanh² (In x²) dx

A: I = ∫ sec h2 (ln x2)x6tan h(ln x2)-tan h2(ln x2)dx=∫ sec h2(2ln x)x6tan h(ln x2)-tan h2(ln x2) dx=∫…

Q: r5 (sinh x In(x + 5) -+: ex sinh-1 x + 2) dx x +1

A: Given,                   ∫-45sinhxx+1-ln(x+5)exsinh-1x+2dx=

Q: arctan(x) dx = x arctan(x) - 2 In(1+ x?) + c

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Q: a) y = In x · sinh x*

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Q: trigonometric substitution 2 X (9-x² -dx

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Q: Ln (2) Sinh(x) Cosh? (x) dx

A: Here I am attaching image so that you understand each and every step.

Q: sinh x + 10 et cosh x + da e2x 2 100 + sinh? (100

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Q: sin(en sin-lx )dr =- cos( sin-!x) +C V1-x? A) True B) False

A: To solve the following integral

Q: cosh“ x – sinh“ x = (cosh? x – sinh? x) (cosh² x + sinh² x)

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Q: 3 sin x y = [cot-1(품

A: Explanation of the answer is as follows

Q: (8 sin(x) + 7 sinh(x)) dx

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Q: Q2.) Using Trigonometric Integrals (Answer one only 1): S sin 5\3 X sec³ x

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: c Functions. Prove the identity cosh x – sinh x = e x-

A: We have to show the given condition

Q: Q2 Find the value of x and then check. 4coshx + sinhx = 4 Q3 Prove that sinh 3x = sinh³x+ 3cosh²x…

A: We are entitled to solve only one question at a time. Please post another question separately. To…

Q: 5. (Double-angle formulas) Prove that a) sinh(2x) = 2 sinh(x) cosh(x) b) cosh(2x) = cosh? (x) +…

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Q: sin? 6, determine a reduction formula for the 5 By the substitution x = integral 2(1- x)2 dx. Hence…

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Q: = sin? (esint) l(x) = tanh-1 x + In v1- x2 2 h(t) + cos + cos¯ -1(2t3 - 5) |

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Q: tan (sinh x) ) ds (b) cosh a sinh x sinh

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Q: . Calc.   Test for exactness then solve. (2xy - sinx)dx + (x2 - cosy)dy =0

A: Differential equation

Q: sin5(θ) cos(θ) dθ     ,    u = sin(θ) find integral by making the given substitution

A: Substitute u=sinθ,du=cosθdθ.

Q: CO SK= Sin X CoS X イメそ2 X= 2anctgt Sin X+ CosX dx= dt 5inイミ イet? ュラナと 2t と? イ2 2dそ (て ーそス 2そ+イーそ?…

A: The function is, ∫sinxcosxsinx+cosxdx

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

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Q: sinhx Cosydx=coshx= Cosh x Cosy =C, c)r²ē

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Q: Using an appropriate substitution, cos x-sin x the integral Jo cosx+sin x dx equals: 0 cosx+sinx 1…

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Q: tanh x dx O sech?x +c O sinh x +1n(x)+c ]In(cosh x) +C

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Q: et +e» et Рe-* cosh(x) sinh(x) 2

A: Given that:- coshx=ex+e-x2 sinh(x)=ex-e-x2

Q: sin ®x cos*x dx. using Wallis formula

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Q: • sin(2x)ln(sin²x+1) dx iv. (sin?x+1)

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Q: 三 hp x so da -e" (sin x + cos x cos2 (x) sin x O)-e" (sin x C UIS e2x (p et (sin x cos x +66 acer

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Q: sin . sin . cos x d. cosz tan E tanz 214 14

A: Given that,

Q: Cos(-) Q5. The value of indefinite integral 5x *dx using appropriate substitution is given by…

A: The given integral is ∫cos1x5x2dx.

Q: (sin x + sinh x) dx 7.

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Q: 5. sin n° x cos x dx >

A: The question is taken from the calculus in which we have to find the value of the given integral, We…

Q: cosh 3 хр. 15) 1-sinh 3

A: Solution

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

A: To show that sinhx+y=sinhx coshy+coshx sinhy