Posted by **Cady** on Monday, September 5, 2011 at 2:48am.

Please help me calculate these integrals.

Suppose that Int 0->1 f(t)dt=11 . Calculate each of the following.

A. int0->0.25 f(4t)dt=

B. int0->0.25 f(1−4t)dt=

C. int0.25->0.375 f(3−8t)dt=

- Calculus -
**MathMate**, Monday, September 5, 2011 at 7:24am
Try substitution:

u=4t

du=4dt, or

dt=(1/4)du

then

∫f(4t)dt [0,0.25]

=∫f(u)(1/4)du [0,4*0.25]

=(1/4)∫f(u)du [0,1]

=(1/4)*11

=11/4

The other problems should work similarly.

## Answer this Question

## Related Questions

- Calculus - Please help me calculate these integrals. Suppose that Int 0->1 f(...
- Grade 12 Calculus - Evaluate each of the following. Show all your calculations...
- calculus (gr 12) - Evaluate each of the following. Show all your calculations. a...
- calculus (gr 12) - Evaluate each of the following. Show all your calculations. a...
- biology - Given the part of the molecule shown below, can the underlined atom ...
- calculus - Find an equation for the surface consisting of all points P(x, y, z) ...
- Calculus - 1. Evaluate the following integrals (a) 4x2 +6x−12...
- physics - Four charges −8 × 10^−9 C at (0 m, 0 m), −7 × 10^&#...
- ap chem - calculate the lattice enthalpy of potassium fluoride from the ...
- math help - Let u = [2,−3, 1] and v = [0, 1, 4]. Calculate the vector u &#...