Evaluate the integrals in Exercises 1–K. 1. [Pi + 7j + (t + 1)k] dt Го- 4 k dt 2. (6 – 6t)i + 3Vij + T/4 [(sin t)i + (1 + cos t)j + (sec²t)k] dt T/4 3. TT/3 4. | [(sec t tan t)i + (tan t)j + (2 sin t cos t)k] dt

Q: 1) Evaluate the integral 2) Evaluate the integral S 5 sec² t de (tant — - 1 dx 8 x√√x² 2

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Q: c) y = (x-2) 3 x² (x-1)(x+5)4 [Hint: use logarithmic differentiation]

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Q: Evaluate the integral ftan¹ (x)sec (x) dx . O sec³(x) 5 O O tans (T) 5 O O None of these tan³ (x) 5…

A: find which method is use for integration.

Q: -2 cos(6t) dt J (10+4 sin(6t))²

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Q: Let C be a constant. Consider Compute(a) da. ان | دن 3 7 3 73 ㅠ + CT 53 + СT 7 + СT 3 -x², f(x) 2) =…

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Q: дz дz Let z = sinh(7x + 8y). Find and ax ду дz ax дz ду || 7 cos(7x + 8y) 8 cos(7x + 8y) х х

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Q: Write a in the form a = a-T+ anN at the given value of t without finding T and N. r(t) = (5 e' cos…

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Q: v (t) x w (t)=((t)i + (sin t)j + (cos t)k) x ((3t)i + 2k) ijk t sint cos t 3t 02 =(2 sin t)i + (3t…

A: The cross product of two vectors A and B is given by:A=ax i +ay j +az kB=bx i +by j +bz…

Q: fze [sin(3x)]-m(x, y, z), where m(x, y, z) = Part C. yz-1 %3D

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