WBJEE · Maths · Definite Integration
If \(\int_{-1}^4 f(x) d x=4\) and \(\int_2^4\{3-f(x)\} d x=7\) then the value of \(\int_{-1}^2 \mathrm{f}(\mathrm{x}) \mathrm{dx}\)
- A -2
- B 3
- C 4
- D 5
Answer & Solution
Correct Answer
(D) 5
Step-by-step Solution
Detailed explanation
Hints : \(\int_{-1}^4 f(x) d x=4\) \[ \begin{aligned} & 3(4-2)-\int_2^4 f(x) d x=7 \\ & \int_2^4 f(x) d x=-1 \\ & \int_{-1}^2 f(x) d x=\int_{-1}^4 f(x) d x+\int_4^2 f(x) d x=4-\int_2^4 f(x) d x=4-(-1)=5 \end{aligned} \]
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