Home > Application of Integrals > CBSE > 092e5162-3031-45ec-896d-ff9aabc2bfd8
Not the exact question you were looking for?

Paste your question to our Mathbee AI Mentor below to get an instant step-by-step solution.

Application of Integrals
RS Aggarwal
CBSE
Grade 12

Question:

Area bounded by curve $y = x^3$, x-axis and ordinates $x = -2$ and $x = 1$ is:
(a) $17/4$ sq units
(b) $15/4$ sq units
(c) $9/4$ sq units
(d) $4$ sq units

Step-by-Step Solution

Key Concept: \int_{-2}^0 -x^3 dx + \int_0^1 x^3 dx = [x^4/4]_0^{-2} + [x^4/4]_0^1 = 4 + 1/4 = 17/4.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: $17/4$ sq units
Mathbee AI Mentor (Free Demo)

Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.

Master Application of Integrals with Mathbee

Practice this topic under real exam conditions with strict timers, or ask our AI Mentor to explain the concepts step-by-step.

Start Practicing for Free