16 sin?x 5. The integral S dx is equal to (useful identity double angle identity for sin) cot2 x+1 1 А. бх — 4 sin 2 x +-sin 4x+ C C. 2x +sin 4 x + C 2 В. Зх + 8 sin 2х — sin4x +С D. 2x sin 4 x + C 2 6. Integral: S sin 5 x cos 3 x dx. A. 1 -(cos 2 x +cos 8x) + C C. -(cos 2 x + cos 8x) + C А. С. 4 B. (cos 2 x ++cos 8 x) + C D. (cos 2 x + cos 8 x) + C cOS

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

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Q: evaluate using the appropriate method or combination of methods.

A: Use 2sinA*cosB=sin(A+B)+sin(A-B) formula

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A:

Q: 69. Difference of Two Angles Show that if ß - a = 1/2, then sin(x + a) + cos(x + B) = 0

A: Given:β-α=π2to prove sin(x+α)+cos(x+β)=0formula:cos(π2+θ)=-sinθ

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A:

Q: Compute / sin? æ dæ. sin 2x + C 4 sin a +C 3 cos 2x + C 4 2 sin 2x + C 4 cos 2x + C 4 2

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Q: Find the intervals in which f(x) =- is increasing or decreasing. log x

A: the given function is: we have to find the intervals in which the given function is increasing or…

Q: After substitution is performed, what is equivalent to /, x sin x² dx , 3 sin u du 8 sin u Li du 3 L…

A: solution is given below

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A:

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A: ∫dxcot(3x).sin(3x)=∫dxcos(3x)sin(3x).sin(3x)

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A: Given function is, ∫sin3xsec4xdx

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A:

Q: Evaluate (2 csc x cot x + 4sec?x)dx. А. -2 csc x + 4 tan x + C 2 csc x + 4 tan x + C C. 2 csc x – 4…

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Q: Əw ər Find when r = 5 and s= -5 if w= (x+y+z)²₁ x=r-s, y = cos (r+s), z = sin (r + s). Əw ər = |r =…

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Q: Find where w= cos z - cos x cos 2y + sin x sin 2y and z x+2y. Me.

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Q: 3T <B<T 2으 Sin a= - 29+2 2-a<27itan B=

A: Given,          sinα=-2029 , 3π2&lt;α&lt;2π          tanβ=-34 , π2&lt;β&lt;π

Q: D m 0=313 3. Q. I- A Cose C. COSE = Sine e. I Sec 20 b. Sin ²0+ - =1 1 d. _ _I tono It. f. 1+_ =…

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Q: sin Vr dx =?

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Q: Evakate: fcos 2xdx cos2x, cos 2x +C A sin2x sin 2x B 6 +C sin2x, sin 2x +C 6 2 cos2x cos 2x +C D 2

A: To evaluate: I=∫cos32x dx