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List of top Mathematics Questions on Fundamental Theorem of Calculus asked in BITSAT

If log$_{10}$(x + 1) = 2, what is the value of x?
Find the derivative of \( y = \sin(x^2) \) with respect to \( x \).
The area enclosed between the curve \(y = \log_e(x + e)\) and the coordinate axes is:
The area enclosed between the curve \(y = \log_e(x + e)\) and the coordinate axes is:
Evaluate: $$ \lim_{x \to 0} \frac{\sqrt{1 + x} - \sqrt{1 - x}}{x} $$
Evaluate the sum: $$ \sum_{n=1}^{\infty} \frac{1}{n(n+1)(n+2)} $$
If $\log_2 (x-1) + \log_2 (x-3) = 3$, find the value(s) of $ x $.