Approximate the integral ₁x sin x dx using (a) Gaussian quadrature with n = 2, (b) Gaussian quadrature with n = 3, separately and compare your results to the exact values of the integral to find the actual errors. Exact integral value ₁x sin x dx = 0.60233736.

Q: sin x dx 4 3 Show that -

A: The integration can be written as;

Q: 2FI 2FI sım nx dx = cos nx dx = 0, where n integer. 0.-

A:

Q: d cosh(3x? + 1) and (b) dx d (sinh x tanh x). dx Calculate (a)

A: Given: a ddxcosh3x2+1b ddxsinhx tanhx

Q: S sin 2x sin 4x dx 7.

A:

Q: sin(/7) dx 9. 1

A:

Q: Differentiate Sin (m sin-1 x)

A:

Q: sin 2x (1 - 2 cos 2x)? dx 6.

A:

Q: 3x dx 1. S 2x 4-1

A:

Q: f dx 3sinhx - 5 cosh x

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: •TT/6 4. S sinx sin2x sin3x dx

A:

Q: sin6x 5. S 4sin?3xcos3x

A:

Q: 7/2 d sin dx dx COS

A:

Q: What change of variable would you use for the integral sec-x -dx? 3 tanx

A:

Q: Find Se2" sin(2x)dæ

A:

Q: Pind the deriatie Y=-5 Sin (4x)

A: By using differentiation formula, we calculate the derivative of given function.