Hey Everyone,

First let me start by saying, I'm not sure if such a book exist.

Does anyone know of any good textbooks/books/reference books for first year (single variable, early transcendentals) Calculus, that have more challenging/not common/bit more thinking and application questions? Or tough definate/indefinate integrals.

For example questions like, $\displaystyle \int ^b_a \frac{dx}{\sqrt{(x-a)(b-x)}}$ or If $\displaystyle \int ^{\frac{\pi}{4}}_0 \tan^6 x\sec x\;dx=L$ find the value of $\displaystyle \int ^{\frac{\pi}{4}}_0 \tan^8 x\sec x\;dx$ in terms of $\displaystyle L$.

Thanks!