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Standalone Questions
#1481
Mathematics
Integrals
LA
UNDERSTAND
2025
AISSCE(Board Exam)
KNOWLEDGE
5 Marks
Find: $\int\frac{x^{2}+1}{(x^{2}+2)(2x^{2}+1)}dx$
Key:
Sol:
Sol:
#1459
Mathematics
Integrals
LA
UNDERSTAND
2025
AISSCE(Board Exam)
KNOWLEDGE
5 Marks
Find: $\int\frac{x^{2}+1}{(x-1)^{2}(x+3)}dx$.
Key:
Sol:
Sol:
#1429
Mathematics
Integrals
SA
UNDERSTAND
2025
AISSCE(Board Exam)
KNOWLEDGE
3 Marks
Find: $\int\frac{2x}{(x^{2}+3)(x^{2}-5)}dx$.
Key:
Sol:
Sol:
#1417
Mathematics
Integrals
LA
UNDERSTAND
2025
AISSCE(Board Exam)
KNOWLEDGE
5 Marks
Find: $\int\frac{\cos x}{(4+\sin^{2}x)(5-4\cos^{2}x)}dx$.
Key:
Sol:
Sol:
#1394
Mathematics
Integrals
LA
2025
AISSCE(Board Exam)
5 Marks
Find: $\int\frac{x^{2}+x+1}{(x+2)(x^{2}+1)}dx$.
Key:
Sol:
Sol:
#1392
Mathematics
Integrals
SA
UNDERSTAND
2025
AISSCE(Board Exam)
KNOWLEDGE
3 Marks
Find: $\int\frac{1}{x}\sqrt{\frac{x+a}{x-a}}dx$.
Key:
Sol:
Sol:
#1364
Mathematics
Integrals
SA
APPLY
2025
AISSCE(Board Exam)
KNOWLEDGE
3 Marks
Find: $\int\frac{x+\sin x}{1+\cos x}dx$.
Key:
Sol:
Sol:
#1344
Mathematics
Integrals
SA
UNDERSTAND
2024
AISSCE(Board Exam)
KNOWLEDGE
3 Marks
Find: $\int\frac{2x+1}{(x+1)^{2}(x-1)}dx$
Key:
Sol:
Sol:
#1338
Mathematics
Integrals
VSA
UNDERSTAND
2024
AISSCE(Board Exam)
KNOWLEDGE
2 Marks
Find: $\int\frac{1}{5+4x-x^{2}}dx$
Key:
Sol:
Sol:
#1337
Mathematics
Integrals
VSA
UNDERSTAND
2024
AISSCE(Board Exam)
KNOWLEDGE
2 Marks
Find: $\int cos^{3}x~e^{log~sin~x}dx$
Key:
Sol:
Sol:
#1320
Mathematics
Integrals
SA
UNDERSTAND
2024
AISSCE(Board Exam)
KNOWLEDGE
3 Marks
Find: $\int\frac{3x+5}{\sqrt{x^{2}+2x+4}}dx$
Key:
Sol:
Sol:
#1319
Mathematics
Integrals
SA
UNDERSTAND
2024
AISSCE(Board Exam)
KNOWLEDGE
3 Marks
Find: $\int e^{x}[\frac{1}{(1+x^{2})^{\frac{3}{2}}}+\frac{x}{\sqrt{1+x^{2}}}]dx$
Key:
Sol:
Sol:
#1316
Mathematics
Integrals
VSA
APPLY
2024
AISSCE(Board Exam)
KNOWLEDGE
2 Marks
Find: $\int\frac{1}{x(x^{2}-1)}dx.$
Key:
Sol:
Sol:
#1299
Mathematics
Integrals
SA
UNDERSTAND
2024
AISSCE(Board Exam)
KNOWLEDGE
3 Marks
Find: $\int\frac{x^{2}}{(x^{2}+4)(x^{2}+9)}dx$
Key:
Sol:
Sol:
#1291
Mathematics
Integrals
VSA
UNDERSTAND
2024
AISSCE(Board Exam)
KNOWLEDGE
2 Marks
Find: $\int x\sqrt{1+2x}dx$
Key:
Sol:
Sol:
#1281
Mathematics
Integrals
SA
UNDERSTAND
2024
AISSCE(Board Exam)
KNOWLEDGE
3 Marks
Find: $\int x^{2}\cdot sin^{-1}(x^{3/2})dx$
Key:
Sol:
Sol:
#1276
Mathematics
Integrals
SA
APPLY
2024
AISSCE(Board Exam)
KNOWLEDGE
3 Marks
Find: $\int\frac{1}{x[(log~x)^{2}-3~log~x-4]}dx$
Key:
Sol:
Sol:
#1271
Mathematics
Integrals
VSA
UNDERSTAND
2024
AISSCE(Board Exam)
KNOWLEDGE
2 Marks
Find: $\int\frac{e^{4x}-1}{e^{4x}+1}dx$
Key:
Sol:
Sol:
#1256
Mathematics
Integrals
SA
UNDERSTAND
2024
AISSCE(Board Exam)
KNOWLEDGE
3 Marks
Find: $\int\frac{2+sin~2x}{1+cos~2x}e^{x}dx$
Key:
Sol:
Sol:
#1255
Mathematics
Integrals
SA
UNDERSTAND
2024
AISSCE(Board Exam)
KNOWLEDGE
3 Marks
Find: $\int\frac{x^{2}+1}{(x^{2}+2)(x^{2}+4)}dx$
Key:
Sol:
Sol: