If the area bounded by the curves y = − x 2 + 6 x − 5 , y = − x 2 + 4 x − 3 and the line y = 3 x − 15 is λ 73 , then the value of λ is

Question

If the area bounded by the curves y = − x 2 + 6 x − 5 , y = − x 2 + 4 x − 3 and the line y = 3 x − 15 is λ 73 ​ , then the value of λ is

TestHub · Accepted Answer

Area = ​ ∫ 1 5 ​ ( 6 x − x 2 − 5 ) d x − ∫ 1 3 ​ ( 4 x − x 2 − 3 ) d x ​ + ​ ∫ 3 4 ​ ( 4 x − x 2 − 3 ) d x ​ + ​ ∫ 4 5 ​ ( 3 x − 15 ) d x ​ = 6 73 ​

Mathematics - Area Under Curves Question with Solution | TestHub