A calculus problem by Rudraksh Shukla

Calculus Level 5

0π/2(sinx+acosx)3dx4aπ20π/2xcosxdx=2\large \int^{\pi /2}_0 (\sin{x}+a\cos{x})^3\,dx - \dfrac{4a}{\pi-2} \int^{\pi /2 }_0 x\cos{x} \,dx = 2

If a1,a2 a_1, a_2 and a3 a_3 are the three values of aa which satisfy the equation above, then find the value of 1000(a12+a22+a32) 1000 \left(a^2_1+a^2_2+a^2_3\right) .

×

Problem Loading...

Note Loading...

Set Loading...