hat is the integrable form of J JcoE e sin sin(0) do cos 1– u² du sin 2 – 1 du s(u) du

Q: Integrate S(cos x)e*+sin xdx B. et-sinx + C A. -e4+sin x + C c. e4+sinx + C D. e-4+sinx +C A В C D

A: Given: I=∫cosxe4+sinxdx  ....(1)   We know that; ∫eax+bdx=1aeax+b+C

Q: | cos z In(sin x)dr

A: In some cases an integral can be converted to a standard integral using an appropriate substitution.…

Q: Compute -i + cos -i sin a - sin a + i cos a where a E (T, ).

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Q: trace the equation in 3 -dimension

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Q: Prove that x2 cos x dx = T(2 – n) (+ sin æ)?

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Q: Find div F and curl F if F(x, y, z) = 2eyi- 7 cos y j + 4 sin² z k. div F= curl F=

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Q: Calculate for w-z sin(xy+).

A: The given function is w=zsinxy4+9z

Q: Evaluate L{t°e! e3(1 – t) 3e-t sin (4t - 2) 2) + t2 $ (3t)} cos

A: Explanation of the answer is as follows

Q: Cos 2x dx ) Sin*2× + 8 1.

A: Given ∫cos2xsin22x+8dx

Q: Find the first and second derivatives of r = [3 cos 2t, 3 sin 2t , 4t].

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Q: 1 E valuate [ (x' + cos(3x)) dx sin (3x) a) b)

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Q: Show that COS x dx a² – x² sin a 2а where a is some positive number.

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Q: Differentiate y= cos y2x +1 sin 2x+1 A. V2x+1 sin 2x+1 B. V2x+1 sin 2x+1 C. V2x-1 sin 2x-1 D. V2x+1

A: Please refer the attached image for complete solution. THANK YOU.

Q: ,2 Compute x² cos(x³ + 3) dx

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Q: General Sol. of  y' tanxsin2y= sin2x+sin2y is

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Q: 2Tt Prove that a" sinax cos bx dx = 0 0.

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Q: Find differential o perator theit annihilates 4e cos3x+3x2e

A: Given that: 4e2xcos3x+3x2e5x For the differential operator that annihilates the value of f(X) will…

Q: d²s dt2 sin 3t + cos 3t |

A: In this question, we need to find s.

Q: Prove that d/dx [cos x] = −sin x.

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Q: Use the double-angle formula cos 2x = 2 cos x – 1 to evaluate the integral 1 1+ cos 2x dx

A: The given integral is ∫11+cos2xdx

Q: 2(2) A complex number z = v2(cos+i sin ), find In ( Z.Z' )

A: z = √2(cosπ/4 + i sinπ/4)  z = √2(1/√2 +i/√2 )  z = (1+i)  z* = 1-i