If for all real triplets| DEFINITE INTEGRATION|JEE MAIN 2020

JEE MAIN 2020

09-01-20 S1

Question

If for all real triplets $(a, b, c), f(x)=a+b x+c x^2$; then $\int_0^1 f(x) d x$ is equal to

Select the correct option:

$2\left\{3 f(1)+2 f\left(\frac{1}{2}\right)\right\}$

$\frac{1}{2}\left\{f(1)+3 f\left(\frac{1}{2}\right)\right\}$

$\frac{1}{6}\left\{f(0)+f(1)+4 f\left(\frac{1}{2}\right)\right\}$

$\frac{1}{3}\left\{f(0)+f\left(\frac{1}{2}\right)\right\}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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