f So Fdr F = cos(x+z)i + sin(y+z)j + sin(z + x) k r = ti - 3tj + tk

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: sin (t) -dt 3 (4+ cos (t))?

A:

Q: b. Stos-¹0 ¹(y) sinx √1+ sin2x dx dy

A: The given integral is, ∫01∫0cos-1ysinx1+sin2xdx dy. To find : Evaluate the integral. To evaluate the…

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A: we have to use substitution method to solve this integral. these are basic integral formulae which…

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A: Formula's

Q: fsin²7x dx Select one: O a. O b. O c. O d. O e. 7x - sin²7x cos 7x 14 7x sin7x cos 7x 7 7x + sin7x…

A: Formula used

Q: fip xp COS T 2. Oa) 2x sin(x) cos(2x) P-sin(2x) d- sin(x)+2x Osin(x) acer

A: y=cos (x2) We need to find dydx

Q: Which of the following equations does not hold for all values of x and y? cos(r + y) = cos(x) cos(y)…

A:

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: A B 25/sin² 5 (sec 0 - cos 0) d )* Which of the following is equal to S; x² +25 dx ?

A: The given integral is x2/sqrt(x2+25).

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

A:

Q: csc² xcotxdx 4. S csc?xc 4-cot?x

A: As per bartleby guidelines we only give first question answers.

Q: DIFFERENTIATE THE GIVEN y = x² co sec™ 3 -1 * COS

A:

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

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Q: Compute | cos z dz. cos z +C 3 cos a + sin z +C 3 sin r + cos x +C 3 Cos x - sin I sin z + 5 sin x…

A:

Q: Find the expression for dy dx dy dx dy 2xcos(x²-y²) - 1 2ycos(x2-y2)+1 dx The answer cannot be found…

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

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Q: valuate f¹² Vsin x + 1 cos x dx.

A: Topic:- application of integration

Q: 02 for the function : a x Find x² sin ( y³ + x e³z - cos ( z? ) = 3 y - 6 z + 8 .A 2 x sin ( 3y ) +…

A:

Q: Evaluate f(x) = 7sin r 1 COS -X %3D at a /3. x =

A: Given fx=7sinx-cos12x To evaluate the value of function at x=π3 put this value in fx fx=7sinx-cos12x

Q: Let f′′(θ)=sin(θ)+cos(θ) and suppose that f(0)=6 and f′(0)=10.  What is the sum of the coefficients…

A: