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NEET UG Application of Integrals — practice questions

26 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.

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If $\alpha + \beta = \frac{\pi}{2}$ and $\beta + \gamma = \alpha$, then $\tan \alpha$ equalsThe value of $\cos y \cos \left(\frac{\pi}{2} - x\right) - \cos \left(\frac{\pi}{2} - y\right) \cos x + in y In $\Delta ABC$, $b^2 \cos 2A - a^2 \cos 2B =$If $ in^{-1}\left(\frac{5}{x}\right) + in^{-1}\frac{12}{x} = \frac{\pi}{2}$, then $x =$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: