(a) Use the tabular method of integration by parts to determine [(x – 2x +1)sin xdx (b) Show that sin(x) cos(nx)dx= 1+ (-1)" 1-n² Hint: You may find the following results useful: 1 2 1 sin(A+B)+ sin(A - B) sin(4) cos(B): cos ((1+ n)π) = cos((1-n)n) =-(-1)"

Q: Use integration by parts to evaluate 2x cos (x) dx -x?cos (x) +c - 2x cos (x) + 2sin(x) +c x?sin (x)…

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Q: ifferentiate each function. a) y= /6x² – 12 (b) g(x) = (cos 0 sin 0)4 (c) f(x) = sin (3x)

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Q: Differentiate the following: a) y=-x²+x-5 (b) y = 10 + 2 3 (c) y = 2√x - X

A: According to Bartleby guidelines we are supposed to do the first three sub parts of multiple sub…

Q: Use the space provided to solve sin (z)- sin(z) = 0 over [0, 27). x Clear + Undo * Redo

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Q: C. h(x) = 2x² sin(x) - x sin(x) – 15 sin(x); ONLY product rule, NO power rule.

A: Given; h(x) = 2x2sin(x) - xsin(x) - 15 sin(x)

Q: Find F(x), f"(x) and f''(x) for f(x)=13x2+ sin(15x).

A: Given,            fx=13x2+sin15x

Q: Evaluate 4x³ sin² (x¹) dx + C

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Q: Find f'(x) for each of the following. a) f (x) = sin(2z+3) 22+1 b) f (æ) = x² In(4x – 1) 22+3 c)f…

A: Given:  a) fx=sin2x+3x2+1 b) fx=x2ln4x-1 c) fx=x2+3x+2 To determine: The value of f'x.

Q: Зп /2 | sin(x + 7)| dx

A: To evaluate the integral ∫03π2 sinx + π dx