Evaluate the integral of sec2x with respect to x, and the definite integral of cos x from 0 to π/2.
Integrals
Original Khojo Papers practice question — not from a past board paper.
(1/2) ln|(x − 1)/(x + 1)| + C
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Splitting into partial fractions gives ½[1/(x − 1) − 1/(x + 1)], and each term integrates to a logarithm.
From the same topic and chapter, at a similar level.
Evaluate the integral of sec2x with respect to x, and the definite integral of cos x from 0 to π/2.
Integrals
Evaluate the definite integral of x2 from 1 to 3.
Integrals
Evaluate the integral of x·ex with respect to x.
Integrals
Evaluate the definite integral of sin x from 0 to π.
Integrals
Evaluate the integral of 1/(1 + x2) with respect to x, and of 1/√(1 − x2).
Integrals
Evaluate the integral of x2 with respect to x, and the definite integral of x2 from 0 to 1.
Integrals