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Suppose that ... Find the value of the following definite integrals Suppose that

ID: 2874325 • Letter: S

Question

Suppose that ... Find the value of the following definite integrals

Suppose that integral^2_1 f (x) dx = 5. Find the value of the following definite integrals. Complete parts (a) through (d). integral^2_1 f (u) du = (Type an exact answer, using radicals as needed.) integral^2_1 squareroot 7 f (z) dz = (Type an exact answer, using radicals as needed.) integral^2_1 f (t) dt = (Type an exact answer, using radicals as needed.) integral^2_1 [- f (x)] dx = (Type an exact answer, using radicals as needed.)

Explanation / Answer

given 12f(x)dx = 5

a) 12f(u)du

let u=x ,du =dx then

12f(x)dx = 5

b)12sqrt7 f(z)dz = sqrt7 12f(z)dz

  let z=x ,dz =dx then

= sqrt7 12f(x)dx

= sqrt7 * 5

c) 12f(t)dt

let t=x,dt=dx

=12f(x)dx

=5

d) 12-f(x)dx = - 12f(x)dx

= - 5

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