jee-advanced 2014 Q55

jee-advanced · India · paper1 Integration by Parts Definite Integral Evaluation by Parts

The value of $$\int_{0}^{1} 4x^3 \left\{\frac{d^2}{dx^2}\left(1 - x^2\right)^5\right\} dx$$ is

The value of
$$\int_{0}^{1} 4x^3 \left\{\frac{d^2}{dx^2}\left(1 - x^2\right)^5\right\} dx$$
is