UP Board Class 12 Integral Calculus — practice questions
24 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice UP Board Class 12 Integral Calculus in the app →The integral $\int x^3\, dx$ equals:The definite integral $\int_0^1 x\, dx$ equals:To evaluate $\int x\cos x\, dx$, the best technique is:If $f$ is an odd function, $\int_{-a}^a f(x)\, dx$ equals: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: