please using first equation , solve the second integral
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please using first equation , solve the second integral S2f(x)dx = 10 olarak verilsin. $* f(b)...
If f is integrable on [a, b], the following equation is correct. Integral^b_a f (x) dx = lim_n rightarrow infinity Sigma^n _i = 1 f (x_i) Delta x, where Delta x = b - a/n and X_i = a + i delta x. Use the given form of the definition to evaluate the integral. integral^1_0 (2 - x^2) dx
If .b f(x)dx + what are the bounds of integration for the first integral? a a = and b =
Using Integral Calculus b * W- Sa f(x) dx using Integral calculus 4. A rope is being unwound and the force of gravity on the rope is 12.0 N/m. When 20 m have been unwound, how much work is done by gravity to unwind another 30 m? (6 marks)
02 Solve the Fredholm integral equation of the second kind y(x)-f(x) +AJ0x(1 H) y(t) dt when λ is not an eigenvalue
8.2 Suppose that ,* f(x) dx = 6, 8* g(x) dx = 4, and S f(x) dx = 2. Evaluate the following integrals: a. -S2f(x) dx (2 Marks) b. Si(3f(x) – 2g(x)) dx (2 Marks) c. $*f(x)g(x) dx (2 Marks) d. S@dx (2 Marks) [Sub Total 20 Marks]
2x 3) Let f(x) = 3V9+x2 a) Evaluate the definite integral 1393 f(x)dx, using Trigonometric substitution. b) Find f(x)dx, using Trigonometric substitution. c) Is there any other way to compute the integral of part b). Explain. If yes, then show the calculations.
assume integral from 3 to 7 of f(x)dx=8 and integral from 6 to 3 f(x)dx=-5 what is integral from 6 to 7 f(x)dx equal?
Find the intervals of convergence of f(x), f'(x), f"(x), and the indefinte integral of f(x) dx. (Be sure to include a check for convergence at the endpoints if the intervals. Enter your answer using interva notation.) Find the intervals of convergence of f(x), f'(x), F"(x), and Sf(x) dx. (Be sure to include a check for convergene Ax) = Ë (-1)" + 2(x – 7)" n=1 מלח (a) f(x) (b) f(x) (c) F"(x) (d) f(x) dx
Show all steps please. b. ASSUME the Differential Equation: dx dt :-(W2)x. 1. SOLVE. That is, determine a function x = f(t) which satisfies the above. 2. CHECK. Show that your function to the above dif. eg. is, indeed, a solution.
10. (16) Find each indefinite integral using u-substitution: a. x?(1–2x")*dx b. ſxcos(x2 – 1) dx