In exercise 1-4, find for the given integrals by using Leibniz rule: (1) ["*(x-1)³ u(t) dt et dt (2) f (3) ² (x-t)ªu(t) dt 4x (4) f sin(x + t) dt

Q: Q7/ Express in the form x +jy (1) e(r/2-j) (2) In(3 – j) (3) sin(t/4+ j2)

A: (1)  ejπ/2-j=ejπ/2-j2                =ejπ/2+1                                         j2=-1…

Q: - 9 √²x²=2 dx = √² ((x² + 1) = 10) dx 1 + 10 1 +

A: ∫01x2−91+x2dx=∫01((x2+1)−101+x2)dx

Q: Let F(x) | sin (4t?) dt. Find the MacLaurin polynomial of degree 7 for F(x). 0.8 Use this polynomial…

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Q: Given the function g(x) = :/ V4 + sin(31) dt, 2x3 use the Fundamental Theorem of Calculus Part 1 to…

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Q: Let f(x) dx = –14, f(x) dx = -4, g(x) dx = 5, g(x) dx = 4, %3D Use these values to evaluate the…

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Q: Q7/ Express in the form x + jy (1) ei(z/2-j) (2) In(3 – j) (3) sin(t/4 + j2)

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Q: B) Use the following values to calculate the integrals: f(x)dx =5 and g(x)dx=12 5 a) [(f(x)+g(x))dx…

A: Given that∫05f(x)dx=5and ∫05g(x)dx=12

Q: Let F(t)=sin(5t)i+2tj+t^3k and G(t)=t^6sin(5t)i+t^3j+5 ln(6t)k,find F(t)×G(t).

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Q: Show that fi (x) = x, f2(x) = cos 2x are orthogonal on

A: Given that, f1(x)= x, f2(x) =cos2x and interval is [0, 90o] Wehave to find that the functions are…

Q: (1) e(z/2-j)

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 6 3. Sº g(x) dx = −5 and 4 the following integrals: A) B) 6 f(x) dx = 3, 2 g(x) dx [Select] 6 S₁…

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