alleryStart learning →Compute the integral of dx/x from x = 1 to x = e.
- 1/e
- 1
- 0
- e - 1
Show answer and solution
Correct answer: B. 1
The value is log e - log 1 = 1 - 0 = 1.
CBSE Class 12 (Commerce) Integrals — practice questions — page 4
Explore 102 free Integrals questions in CBSE Class 12 (Commerce) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Integrals with Quill →Integrals questions and exercises with answers
Showing questions 91–102 of 102.
Compute the integral of dx/x from x = 1 to x = e.Read the answer and worked solution →Evaluate e^x integrated from 0 up to 1.Read the answer and worked solution →Integrate sec^2 x from 0 to pi/4.Read the answer and worked solution →Find the integral of (2x + 1) from 1 to 3.Read the answer and worked solution →Integral of 2x/(1 + x^2) over [0, 1] equals:Read the answer and worked solution →Evaluate the integral over [0, 1] of x e^(x^2).Read the answer and worked solution →The integral of any odd function over [-a, a] is:Read the answer and worked solution →For even f, the integral over [-a, a] is twice the integral over:Read the answer and worked solution →Integral of cos x over [-pi/2, pi/2]:Read the answer and worked solution →Using the 2a property, the integral of sin x from 0 to 2*pi is:Read the answer and worked solution →Find integral of sin x/(sin x + cos x) from 0 to pi/2.Read the answer and worked solution →To turn f(x) into f(a + b - x) in a definite integral, substitute:Read the answer and worked solution →
Worked practice questions
Evaluate e^x integrated from 0 up to 1.
- e + 1
- 1
- e - 1
- e
Show answer and solution
Correct answer: C. e - 1
The value is e^1 - e^0 = e - 1.
Integrate sec^2 x from 0 to pi/4.
- 1
- pi/4
- 1/2
- 0
Show answer and solution
Correct answer: A. 1
The value is tan(pi/4) - tan 0 = 1.
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