Use the Fundamental Theorem of Line Integrals to calculate 7. di exactly. F6 sin(6x + y)i + sin(6x + y)j along the path consisting of a line from (n, 0) to (2, 5) followed by a line to (7, 0) followed by a quarter orde ta Rubmil o

Q: Use u-substitution to find the definite integral |4xe -3x+7 dx . Please clearly show all -k.

A: By u - substitutions

Q: Evaluate the iterated integral ¡¡ -1 -2 (17x+8y + 10) dx dy.

A: I=∫−10∫−22(17x+8y+10)dxdy

Q: 41. | sin &r cos 5x dr

A: This integral can be done by using the trigonometric formula In the given question a=8x and b=5x…

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A:

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A:

Q: d 1+ sin² (2)| dz

A:

Q: 8. Evaluate the integral 4 + 6x dx Vx

A: In this question we have to solve the integration given. we can write , x=(x)12

Q: 6x + 8 + 8x)2

A:

Q: Set up - simplify a little bit, but do not evaluate y = sin x- I cos z for 0 < x <T/2. the integral…

A: