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Let f(x) be a non-negative continuous fu...

Let `f(x)` be a non-negative continuous function such that the area bounded by the curve `y=f(x),` the x-axis, and the ordinates `x=pi/4a n dx=beta>pi/4i sbetasinbeta+pi/4cosbeta+sqrt(2)betadot` Then `f(pi/2)` is `(pi/2-sqrt(2)-1)` (b) `(pi/4+sqrt(2)-1)` `-pi/2` (c) `(1-pi/4+sqrt(2))`

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CENGAGE PUBLICATION-APPLICATION OF INTEGRALS-All Questions
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  2. The area bounded by the x-axis, the curve y=f(x), and the lines x=1,x=...

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  3. Let f(x) be a non-negative continuous function such that the area boun...

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  8. Let f(x)=x^3+3x+2 and g(x) be the inverse of it. Then the area bound...

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  13. The area of the region bounded by x=0,y=0,x=2,y=2,ylt=e^x and ygeq1nx ...

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  14. If f(x)=sinx ,AAx in [0,pi/2],f(x)+f(pi-x)=2,AAx in (pi/2,pi]a n df(x)...

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  15. The area enclosed by the curve y=sqrt(4-x^2),ygeqsqrt(2)sin((xpi)/(2sq...

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  18. The area bounded by the loop of the curve 4y^2=x^2(4-x^2) is (a)7/3 sq...

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  19. The area bounded by the curve f(x)=x+sinx and its inverse function bet...

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  20. The area enclosed by the curve y=sinx+cosxa n dy=|cosx-sinx| over the ...

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