What is the definite integral of 2x dx from x = 1 to x = 3?
Answer and explanation
Correct answer: B. 8
- Step 1: The antiderivative of 2x is x^2. Step 2. Evaluating from 1 to 3: [x^2]_1^3 = 3^2 - 1^2 = 9 - 1 = 8. Answer: 8. Why not the others: 4 evaluates (3 - 1)^2; 9 is upper limit squared 3^2 without subtracting lower limit 1^2; 6 multiplies limits 2 * 3.
Practise more Calculus - Limits, Differential and Integral Calculus.
Free questions with an explanation for every one, and full timed Higher Secondary Certificate Examination (Bangladesh) mock tests.
More Calculus - Limits, Differential and Integral Calculus questions
- What is the limit of (sin x) / x as x approaches 0?
- What is the derivative of f(x) = x^5 - 4x^3 + 7x - 9 with respect to x?
- What is the derivative of f(x) = sin(3x) with respect to x?
- What is the derivative of f(x) = ln(x) with respect to x for x > 0?
- What is the derivative of f(x) = e^(2x) with respect to x?
- What is the slope of the tangent line to the curve y = x^2 - 3x + 2 at x = 4?