Symmetry Weighted Integral for a Linear Function
If:
$$f(a-x)=f(x)$$
then:
$$\int_0^a(a-2x)f(x)\,dx=0$$
Usage
- Used when the integrand contains a linear factor multiplied by a function symmetric about $$x=\frac{a}{2}$$.
---
Sign in
Please select an account to continue using cracku.in
↓ →
CAT Formulas
Indefinite Integration
Symmetry Weighted Integral for a Linear Function
Symmetry Weighted Integral for a Linear Function
If:
$$f(a-x)=f(x)$$
then:
$$\int_0^a(a-2x)f(x)\,dx=0$$
Usage
- Used when the integrand contains a linear factor multiplied by a function symmetric about $$x=\frac{a}{2}$$.
---
Start your IIM journey with the right preparation and crack CAT 2026.
Educational materials for CAT preparation