$\displaystylef(x)=\int_{0}^{x^2}\sec^2(\sqrt{x})dx \\=\int_{0}^{\sqrt{x^2}}\sec^2(u)\cdot2udu \\=2\int_{0}^{\sqrt{x^2}}\sec^2(u)du \\=2\Big[u\tan(u)-\int\tan(u)du\Big]_{0}^{\sqrt{x^2}} \\=2\Big[u\tan(u)+\ln\Big(\mathrm{abs}(\cos(u))\Big)\Big]_0^x \\=2\Big(x\tan(x)+\dfrac{1}{2}\ln\Big(\cos^2(x)\Big)\Big) \\=2x\tan(x)+\ln(\cos^2(x))$

Hope this helps.

6 0

3 years ago

The vet feeds the animals 6 cups of food. How many dishes will she use if she gives each pet 1/4 cup of food

nekit [7.7K]

Answer:

24 dishes

Step-by-step explanation:

1cup- 4dishes

6cups =6*4=24 dishes

8 0

3 years ago

You work 40 hours/week for 50 weeks and are given the option to be paid hourly or to go on salary. In which situation will you e

Alenkasestr [34]

Answer:

40/50 weeks is the ans

plzzz give brainliest

5 0

3 years ago

Margo can purchase tile at a store for $0.59 per tile and rent a tile saw for $40. At another store she can borrow the tile saw

Art [367]

Answer:

its 60

Step-by-step explanation:

5 0

3 years ago