Find $f(x)$ if $$\int_0^{f(x)}t^2dt=\pi \cos(\pi x)$$ So what I did is , using the fundamental theorem of calc. part 2 $$\int_0^{f(x)}t^2dt=\pi \cos(\pi x) \Leftrightarrow \frac{f(x)^3}{3}-0=\pi \cos(\pi x)$$ so then $$(3(\pi \cos(\pi x))^{1/3} = f(x)$$ is this correct?

  • 4
    $\begingroup$ it seems correct to me $\endgroup$ – the_candyman May 20 at 20:12

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.