CUET PG 2025 — Mathematics PYQ
CUET PG | Mathematics | 2025∫x2+x+22x+1dx is
Choose the correct answer:
- A.
log(2x+1)+c, where c is an arbitrary constant
- B.
log(x2+x+22x+1)+c, where c is an arbitrary constant
log(x2+x+2)+c, where c is an arbitrary constant
Explanation
Maana ki t=x2+x+2:
Differentiating dono taraf:
dt=(2x+1)dx
Ab integral mein values rakhne par:
I=∫t1dt
Integrate karne par:
I=log∣t∣+C
t ki value wapas rakhne par:
I=log∣x2+x+2∣+C
Answer: log∣x2+x+2∣+C
Explanation
Maana ki t=x2+x+2:
Differentiating dono taraf:
dt=(2x+1)dx
Ab integral mein values rakhne par:
I=∫t1dt
Integrate karne par:
I=log∣t∣+C
t ki value wapas rakhne par:
I=log∣x2+x+2∣+C
Answer: log∣x2+x+2∣+C