समाकलनों के लिए माध्यमान प्रमेय (Mean Value Theorem for Integrals) के अनुसार, यदि f अंतराल [a, b] पर सतत है, तो (a, b) में एक ऐसी संख्या c मौजूद होती है कि ∫ab f(x) dx किसके बराबर होता है?

Which of the following territories was annexed by Lord Dalhousie under the pretext of misgovernance, and not directly through the Doctrine of Lapse?

What was the primary stated reason for the Partition of Bengal in 1905 by Lord Curzon?