Home › CBSE Class 12 (Commerce) › Mathematics › Integrals › What is the integral of (2x + 3)/(x^2 + 3x + 7)?
What is the integral of (2x + 3)/(x^2 + 3x + 7)?
Alog (x^2 + 3x + 7)
B1/(x^2 + 3x + 7)
C2 log (x^2+3x+7)
Dtan^-1 (x^2+3x+7)
Answer & Solution
Correct answer: A. log (x^2 + 3x + 7)
The numerator 2x + 3 is exactly the derivative of the denominator, so the integral is its log.
Related questions
To turn f(x) into f(a + b - x) in a definite integral, substitute:Find integral of sin x/(sin x + cos x) from 0 to pi/2.Using the 2a property, the integral of sin x from 0 to 2*pi is:Integral of cos x over [-pi/2, pi/2]:For even f, the integral over [-a, a] is twice the integral over:The integral of any odd function over [-a, a] is:Evaluate the integral over [0, 1] of x e^(x^2).Integral of 2x/(1 + x^2) over [0, 1] equals: