alleryStart learning →$\int_0^1 e^x\,dx$ equals:
- $e$
- $e - 1$
- $1 - e$
- $1$
Show answer and solution
Correct answer: B. $e - 1$
$\int_0^1 e^x\,dx = [e^x]_0^1 = e^1 - e^0 = e - 1$.
HPCET Exponential — practice questions
Explore 4 free Exponential questions in HPCET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Exponential with Quill →Exponential questions and exercises with answers
Showing questions 1–4 of 4.
Worked practice questions
Evaluate $\int_2^3 7^x\,dx$:
- $294/\ln 7$
- $294 \ln 7$
- $343 - 49$
- $\ln(343/49)$
Show answer and solution
Correct answer: A. $294/\ln 7$
$\int 7^x\,dx = 7^x/\ln 7 + c$.
**So $[7^x/\ln 7]_2^3 = (7^3 - 7^2)/\ln 7 = (343 - 49)/\ln 7 = 294/\ln 7$.**
$\dfrac{d}{dx}(e^x)$ equals:
- $e^x$
- $\ln x$
- $x e^{x-1}$
- $1/x$
Show answer and solution
Correct answer: A. $e^x$
$e^x$ is its own derivative — unique property of the exponential function.
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