alleryStart learning →$\int_1^3 x\,dx$ equals:
- 2
- 4
- 5
- 9
Show answer and solution
Correct answer: B. 4
$\int_1^3 x\,dx = [x^2/2]_1^3 = 9/2 - 1/2 = 8/2 = 4$.
UPCET / UPSEE Basic Evaluation — practice questions
Explore 4 free Basic Evaluation questions in UPCET / UPSEE Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Basic Evaluation with Quill →Basic Evaluation questions and exercises with answers
Showing questions 1–4 of 4.
Worked practice questions
$\int_{-1}^{5}(2x+3)\,dx$ equals:
- 24
- 32
- 42
- 48
Show answer and solution
Correct answer: C. 42
**Antiderivative:** $x^2 + 3x$.
**Evaluate:** $[x^2+3x]_{-1}^{5} = (25 + 15) - (1 - 3) = 40 - (-2) = 42$.
$\int_0^2 x^2\,dx$ equals:
- $2$
- $4/3$
- $8/3$
- $4$
Show answer and solution
Correct answer: C. $8/3$
$\int_0^2 x^2\,dx = [x^3/3]_0^2 = 8/3 - 0 = 8/3$.
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