exo7 4351

$f(x) = \int_{t=-\pi/2}^{\pi/2} |x+t|\sin t\,d t$.

$f(x) = \int_{t=x}^{x^2} \frac{d t}{\ln t}$.

$f(x) = \int_{t=x}^{x^2} \frac{d t}{\sqrt{t^4+t^2+1}}$.

$f(x) = \int_{t=0}^1 \frac{e^t\,d t}{t+x}$.

$f(x) = \int_{t=0}^{\pi/2} x\exp\Bigl(\frac{\sin t}x\Bigr)d t$.

$f(x) = \int_{t=0}^x \frac{\ln(1+xt)}{1+t^2}\,d t$.