Integral Calculus Questions for NDA

Free, AI-curated practice for the Integral Calculus section of NDA. We have 15+ verified questions in this bank. Below: 5 sample questions. Sign up free to unlock unlimited practice + AI explanations + per-topic analytics.

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Sample questions

Q1 · medium · AI-verified

If ∫f(x)dx = F(x) + C, then ∫f(ax + b)dx equals:

F(ax + b) + C
(1/a)F(ax + b) + C
aF(ax + b) + C
F(ax + b)/a + C

Q2 · medium · AI-verified

The integral ∫x√(x² + 1)dx equals:

(1/3)(x² + 1)^(3/2) + C
(2/3)(x² + 1)^(3/2) + C
(1/2)(x² + 1)^(3/2) + C
(x² + 1)^(3/2) + C

Q3 · medium · AI-verified

The integral ∫xe^x dx equals:

e^x(x - 1) + C
xe^x + C
e^x(x + 1) + C
x²e^x + C

Q4 · medium · AI-verified

The area under the curve y = x² from x = 0 to x = 2 is:

Q5 · medium · AI-verified

If f(x) = x³ - 6x² + 11x - 6, then ∫f'(x)dx from x = 1 to x = 3 equals:

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Integral Calculus Questions for NDA

Sample questions

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