- #1

0kelvin

- 48

- 4

## Homework Statement

f is continuous in [-1, 1]. Calculate ##\int_0^1 f(2x - 1) dx##, given that ##\int_{-1}^1 f(u) du = 5##

f is continuous in [0, 4]. Calculate ##\int_{-2}^2 xf(x^2) dx##

## The Attempt at a Solution

I did one easier exercise where both integrals were in terms of x, a simple x - 2 = u and du = dx substitution made the trick. The other fact was that I noticed that the whole function was shifted by two units and the limits of integratition were also shifted by two units, resulting in the same value for the definite integral.

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