Use limits of definite integrals to calculate each of the improper integrals in Exercises - dx - dx (x2 + 1) 41. Lo x2 + 1)² 42. /2 T/2 43. secx dx 44. tan xdx 0. In x dx Inx dx 45. 46. 1 1 dx xlnx 1 dx x Inx 47. 48. 1 dx x(ln x)? 1 dx x(In x)2 49. 50. 1 sin (1/x) dx x2 1 52. dx x(х — 1) 51. 1/т 2 1 1 53. dx dx x(x – 1) 54. 1 x(x– – 1) 00 55. lo x(x – 1) X – 2 dx 1) dx 56. x(x

Q: integral of 8000e0.1x dx

A: To find the integration.

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

A: By u - substitutions

Q: Evaulate the intergral: ∫−10sec^2(x)tan(x)dx

A: Consider the given integral:

Q: Integrate (4+x^1/2+x)/x dx

A: consider the given integration, ∫4+x+xxdx divide each term of numerator by x, ∫4x+1x+1dx

Q: Differentiate Fa) =t 3x-8 F'(x) = = (X) %3D

A:

Q: Integral of 8/e2x dx

A: Given integral:

Q: х — 3 х3 -4х

A: