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The area bounded by the curve f(x)=x+sin...

The area bounded by the curve `f(x)=x+sinx` and its inverse function between the ordinates `x=0a n dx=2pi` is `4pis qdotu n i t s` (b) `8pis qdotu n i t s` `4s qdotu n i t s` (d) `8s qdotu n i t s`

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The area bounded by the curves y=sinx between the ordinates x=0,\ x=pi and the x-axis is 2\ s qdotu n i t s b. 4\ s qdotu n i t s c. 3\ s qdotu n i t s d. 1\ s qdotu n i t s

Let f(x)=x^3+3x+2a n dg(x) be the inverse of it. Then the area bounded by g(x) , the x-axis, and the ordinate at x=-2a n dx=6 is (a) 9/4s qdotu n i t s (b) 4/3s qdotu n i t s (c) 5/4s qdotu n i t s (d) 7/3s qdotu n i t s

The area bounded by the curves y=sin^(-1)|sinx|a n dy=(sin^(-1)|sinx|^2,w h e r e0lt=xlt=2pi, is 1/3+(pi^2)/4 s qdotu n i t s (b) 1/6+(pi^3)/8s qdotu n i t s 2s qdotu n i t s (d) none of these

The area bounded by the curve y^2=8x\ a n d\ x^2=8y is (16)/3s qdotu n i t s b. 3/(16)s qdotu n i t s c. (14)/3s qdotu n i t s d. 3/(14)s qdotu n i t s

Area of the triangle formed by the line x+y=3 and the angle bisectors of the pairs of straight lines x^2-y^2+2y=1 is 2s qdotu n i t s (b) 4s qdotu n i t s 6s qdotu n i t s (d) 8s qdotu n i t s

The area enclosed between the curve y^2(2a-x)=x^3 and the line x=2a above the x-axis is (a) pia^2s qdotu n i t s (b) (3pia^2)/2s qdotu n i t s (c) 2pia^2s qdotu n i t s (d) 3pia^2s qdotu n i t s

The area of the closed figure bounded by y=(x^2)/2-2x+2 and the tangents to it at (1,1/2)a n d(4,2) is 9/8s qdotu n i t s (b) 3/8s qdotu n i t s 3/2s qdotu n i t s (d) 9/4s qdotu n i t s

Area bounded by the curve x y^2=a^2(a-x) and the y-axis is (pia^2)/2s qdotu n i t s (b) pia^2s qdotu n i t s 3pia^2s qdotu n i t s (d) None of these

The area bounded by the two branches of curve (y-x)^2=x^3 and the straight line x=1 is (a) 1/5s qdotu n i t s (b) 3/5s qdotu n i t s 4/5s qdotu n i t s (d) 8/4s qdotu n i t s

The area bounded by the two branches of curve (y-x)^2=x^3 and the straight line x=1 is 1/5s qdotu n i t s (b) 3/5s qdotu n i t s 4/5s qdotu n i t s (d) 8/4s qdotu n i t s

CENGAGE ENGLISH-APPLICATION OF INTEGRALS-All Questions
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  18. Find the area bounded by y=sin^(-1)x ,y=cos^(-1)x ,and the X-axis.

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  19. Draw a rough sketch of the curve y=(x-1)^2(x-2)(x-3)^3

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