Let f:(0,infty)to(0,infty) be the function defined by f(x)=int0^xsqrt t/1+t^2,dt, where sqrt t denotes the positive square root for t0. Which of the following statements are true?

Q63Section C (Part C)63 of 120

Integrals — properties of a function defined by an integral

Let $f:(0,\infty)\to(0,\infty)$ be the function defined by

$f(x)=\int_0^x\frac{\sqrt t}{1+t^2}\,\mathrm{d}t,$

where $\sqrt t$ denotes the positive square root for $t>0$ . Which of the following statements are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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