Answer to Question #203597 in Calculus for Dhruv rawat

Question

e^x

d/ dx[ ∫ (Int) dt] = x-In 2

2

True or false with full explanation

Answer 1

$\int ^{e^x}_2lntdt=tlnt|^{e^x}_2-t|^{e^x}_2=xe^x-2ln2-e^x+2$

$\frac{d}{dx}(xe^x-2ln2-e^x+2)=e^x+xe^x-e^x=xe^x$

Answer: false