PYQs Based Test - 04 : Definite and Indefinite Integrals

Topics Covered

Sample Questions from this Test

1. The integral $\underset{0}{\overset{1}{\int }}\frac{\mathrm{dx}}{\sqrt{1-\mathrm{x}}}$ is equal to _______
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2. Given, $i=\sqrt{-1}$, the value of the definite integral, $I=\underset{0}{\overset{\pi /2}{\int }}\frac{\cos x+i\sin x}{\cos x-i\sin x}dx$ is:
3. Let f be a real-valued function of a real variable defined as f(x) = x – [x], where [x] denotes the largest integer less than or equal to x. The value of $\underset{0.25}{\overset{1.25}{\int }}f\left(x\right)dx$ is _______ (up to 2 decimal places).
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Test Instructions

• The test contains 10 questions and a total of 16 marks.
• You will have 180 minutes to complete the test. The timer cannot be paused once started.
• Negative marking: 0.25 mark(s) deducted per wrong answer.
• Use the question palette to mark questions for review and navigate freely.
• Detailed solutions and analytics are available immediately after submission.
• This is a free practice test. No login required to attempt.