Integrals — practice questions
6 curated practice questions from Integrals (Mathematics Class 12, CBSE) — 5 medium, 1 easy. Every question includes the final answer free; step-by-step worked solutions with a free account.
- _0^ 2a f(x) dx = 2 _0^a f(x) dx iff f(2a - x) is equal to:
- If d dx f(x) = 2x^3 - 1 x^2 such that f(1) = 1 , then f(x) is equal to:
- Evaluate :
- Assertion (A): dx x^2 + 2x + 3 = 1 2 ^ -1 ( x+1 2 ) + C . Reason (R): dx x^2 + a^2 = 1 a^2 ^ -1 x a + C .
- Assertion (A): _ -1 ^ 1 (x^3 + x + 2) dx = 0 . Reason (R): _ -a ^ a f(x) dx = cases 2 _0^a f(x) dx, & if f(x) is even…
- If 1 - 25 x^2 dx = 5x 2a 1 - 25x^2 + 1 2a ^ -1 5x + C , then value of a is: