CBSE Class 12 Application of Integrals — practice questions
46 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CBSE Class 12 Application of Integrals in the app →The area under the curve $y = x$ from $x = 0$ to $x = 4$ is:The area between $y = x^2$ and $y = x$ from $x = 0$ to $x = 1$ is:The area enclosed by the ellipse $x^2/a^2 + y^2/b^2 = 1$ is:The area enclosed by the parabola $y^2 = 4ax$ and its latus rectum is:Formulae of elementary geometry cannot find areas enclosed by:The area under a curve is built from a large number of thin:For a vertical strip of height y and width dx, dA equals:The area of one thin strip is called the:The total area comes from adding up all the:The definite integral is evaluated using which theorem?Strips used to find an area may be vertical or:If a curve lies below the x-axis, its integral comes out:When the integral is negative, the area is taken as its:If part of a curve is above the axis and part below, the areas are:For the region below the axis A1 is negative while A2 is:For a horizontal strip, the elementary area would be:Areas are found here for lines and arcs of circles, plus:The width of an elementary vertical strip is written as:The definite integral was first defined as the limit of:The height of a vertical elementary strip is given by:An elementary area is located at a position specified by some value of:Only the numerical value of an area is taken into consideration, so signs are:Finding the area of a circle here uses which curves in standard form?Slicing a region the other way is described in the text as considering:The area under y equals f of x is bounded by the curve, the x-axis and two:The definite integral was earlier calculated as the limit of a:The mathematician pictured alongside the introduction is:Cauchy lived from 1789 until:Besides areas under curves, the topic finds areas between lines and arcs of circles, parabolas and:The curves treated are taken in their forms that are:Definite integrals are evaluated using the Fundamental Theorem of:The area under a curve is pictured as composed of many thin strips that are:An elementary strip of height y and width dx has area dA equal to:In the strip formula, the height y is given by:If the curve lies below the x-axis, the computed area comes out:When the computed area is negative, the value taken is its:For areas, only the value that is taken into consideration is the:For a region in the first quadrant, y is taken as:Finding the area bounded by a curve is described as a way that is easy and:A later section treats the area between how many curves?The application of integrals studied here is finding:The strips used to build up area have width written as:The ordinates bounding the area are drawn at x equals a and:Curves whose areas are found include circles, parabolas and:A large number of very thin strips are added to approximate the:The definite integral's sign for a curve below the axis is: