Class 12 · ICSE · Mathematics

Integrals

Integration as the inverse of differentiation, integration by substitution, by parts and by partial fractions, and the definite integral and its properties.

Questions: 7
PYQs: 0
Topics: 0

Syllabus mapping: ISC syllabus (CISCE)

All questions Practise this chapter

Questions

7 questions in this chapter.

Answer available
Class 12 · Mathematics · Integrals
Evaluate the integral of 1/(1 + x²) with respect to x, and of 1/√(1 − x²).
3 marksMediumNumerical
Answer available
Class 12 · Mathematics · Integrals
Evaluate the definite integral of x² from 1 to 3.
3 marksMediumNumerical
Answer available
Class 12 · Mathematics · Integrals
Evaluate the integral of x² with respect to x, and the definite integral of x² from 0 to 1.
2 marksEasyNumerical
Answer available
Class 12 · Mathematics · Integrals
Evaluate the definite integral of sin x from 0 to π.
3 marksMediumNumerical
Answer available
Class 12 · Mathematics · Integrals
Evaluate the integral of 1/(x² − 1) with respect to x.
3 marksMediumNumerical
Answer available
Class 12 · Mathematics · Integrals
Evaluate the integral of x·e^x with respect to x.
3 marksMediumNumerical
Answer available
Class 12 · Mathematics · Integrals
Evaluate the integral of sec²x with respect to x, and the definite integral of cos x from 0 to π/2.
3 marksMediumNumerical

Integrals

Questions

Evaluate the integral of 1/(1 + x2) with respect to x, and of 1/√(1 − x2).

Evaluate the definite integral of x2 from 1 to 3.

Evaluate the integral of x2 with respect to x, and the definite integral of x2 from 0 to 1.

Evaluate the definite integral of sin x from 0 to π.

Evaluate the integral of 1/(x2 − 1) with respect to x.

Evaluate the integral of x·ex with respect to x.

Evaluate the integral of sec2x with respect to x, and the definite integral of cos x from 0 to π/2.

Evaluate the integral of 1/(1 + x²) with respect to x, and of 1/√(1 − x²).

Evaluate the definite integral of x² from 1 to 3.

Evaluate the integral of x² with respect to x, and the definite integral of x² from 0 to 1.

Evaluate the integral of 1/(x² − 1) with respect to x.

Evaluate the integral of x·e^x with respect to x.

Evaluate the integral of sec²x with respect to x, and the definite integral of cos x from 0 to π/2.