CUET · MATHS · PYQ PAPER 2023
If \(\int \frac{d x}{(x+1)(x+2)}=\int \frac{A}{x+1} d x+\int \frac{B}{x+2} d x\), then \(A+B=\)
- A 2
- B 1
- C \(0\)
- D -1
Answer & Solution
Correct Answer
(C) \(0\)
Step-by-step Solution
Detailed explanation
\( 1 = A(x+2) + B(x+1) \) Set \( x = -1 \): \( 1 = A(-1+2) \implies A=1 \) Set \( x = -2 \): \( 1 = B(-2+1) \implies B=-1 \) \( A+B = 1 + (-1) = 0 \)
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