Given below are two statements. Statement - 1: The value of _ -4 ^ -5 (x^ 2 -3 ] d x+ _…
Mathematics · JEE Main · NTA Exams — Integral Calculus
Given below are two statements.
Statement - 1: The value of \(\int_{-4}^{-5} \sin \left(x^{2}-3\right] d x+\int_{-2}^{-1} \sin \left(x^{2}+12 x+33\right) d x\) is zero.
Statement - 2: \(\int_{-a}^{a} f(x) d x=0\), if f(x) is an odd function.
In the light of the above statements, choose the correct answer from the options given below:
- Both the statements are true and Statement - 2 is the correct explanation of Statement - 1
- Both the statements are true but Statement - 2 is not the correct explanation of Statement - 1
- Statement - 1 is true and Statement - 2 is false
- Statement - 1 if false and Statement - 2 is true
Answer
(D) Statement - 1 if false and Statement - 2 is true
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