KCET2008MathematicsDefinite Integration
The value of _ -2 ² (a x³+b x+c ) d x depends on the
Options
- Avalue of
- Bvalue of
- Cvalue of
- Dvalues of and
Correct answer
B. value of
Step-by-step solution
Let I = _ -2 ² (a x³+b x+c ) d x We know, _ -a ^ a f(x) d x= aligned 2 ₀^ a f(x) d x, & if f(-x)=f(x) 0, & if f(-x)=-f(x) aligned . In the given integral, a x³ and bx are odd functions. Hence, it depends only on the value of .