Evaluate the integral [(4?) i + (3) j+ (5t + 3) k] dt. 1 i + (3) j+ (5t + 3) k] dt = (O i+ O ij+ (O. k

Q: Find the product of the integral 1- LL,x? e*ydxdy

A:

Q: Evaluate the integral -9f5 dt /1² +2

A:

Q: dt 2t -1 integral with all the resolve this necessary steps

A: We have to solve ∫1-t2t-1 dt.

Q: SSS (x+ yz?) dx dy dz v. 06x< !, 0£ys2

A: Given that ∫∫v∫x+yz2dxdydz, where v:0≤x≤1, 0≤y≤2, -1≤z≤3 Here, we will evaluate the given integral

Q: 15. cot x cos²x dxr 19. r sin'r dt

A:

Q: 1² +3 dr. Compute the integral 1² – 3r + 2

A: Derivative of a function f(x) with respect to x is the measure of how fast the function is changing…

Q: 55-х 5—х-у SS J dzdydx 0 0 0

A:

Q: 9. cos (2t) dt 10. " sin?t cost dt /2 11. sin'x cos?x dx 12. (2 sin0)² d®

A:

Q: x² + 2x + 1 dr- (x² + 1)² Falculate the integral

A:

Q: Find the integral 52? + 3х — 2 dx +C x3 + 2x?

A:

Q: Evaluate the integral. | (5x² + 8) e-"dx -33e + 18 -33e-1 + 18 -33e-1 – 18 33e-1+ 18

A: Given, ∫015x2+8e-xdx  We have to evaluate the integral.

Q: Simplify the following: 5 2 + x² + 5x + 6 x² + 4x +3

A:

Q: 5. (y+√√x² + y²)dx - xdy = 0 when x = √3, y = 1 I

A: See this solution in below.

Q: Calculate the integral of 2 dt

A: