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6/10

Student: Rahul S.

JEE Main · Calculus

Evaluated

Scanned Upload

Step 1: ∫ x sin(x) dx

Step 2: = −x cos(x) − ∫ cos(x) dx

Step 3: = −x cos(x) − sin(x) + C

Exact Mistake Identified

In Step 2, using integration by parts, you missed the negative sign. The correct expansion gives +∫ cos(x) dx, not −∫ cos(x) dx.

Alternative Solution

Correct answer: −x cos(x) + sin(x) + C. The DI (tabular) method reaches the same result faster.

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Students scan or upload handwritten solutions. Our AI breaks down the working step-by-step, identifies the exact conceptual or calculation error, and provides the correct methodology with alternative solutions.

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6/10

Student: Rahul S.

Calculus Mid-Term (Scanned)

Evaluated

Scanned Upload

Step 1: ∫ x sin(x) dx

Step 2: = −x cos(x) − ∫ cos(x) dx

Step 3: = −x cos(x) − sin(x) + C

Exact Mistake Identified

In Step 2, using integration by parts, you missed the negative sign. The correct expansion gives +∫ cos(x) dx, not −∫ cos(x) dx.

Alternative Solution

Correct answer: −x cos(x) + sin(x) + C. The DI (tabular) method reaches the same result faster.

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