SaitechAI — Target Practice (TP)
Concept: Simple Integrals · Keys revealed only after submission
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Questions (2 marks each · total 20)
1.
∫ x dx
Solved
Key: x²/2 + C
2.
∫ x² dx
Solved
Key: x³/3 + C
3.
∫ √x dx
Solved
Key: (2/3) x^{3/2} + C
4.
∫ 1/x dx (x > 0)
Solved
Key: ln x + C
5.
∫ e
x
dx
Solved
Key: e
x
+ C
6.
∫ a
x
dx (a > 0, a ≠ 1)
Solved
Key: a
x
/ln a + C
7.
∫ sin x dx
Solved
Key: −cos x + C
8.
∫ cos x dx
Solved
Key: sin x + C
9.
∫ 1/(1 + x²) dx
Solved
Key: tan⁻¹ x + C
10.
∫ sec² x dx
Solved
Key: tan x + C
Total Score (out of 20)
Solved Count
Confidence (1–5)
Doubts / Topics to Review
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