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The slope of the tangent to a curve y=f(...

The slope of the tangent to a curve `y=f(x)` at `(x,f(x))` is `2x+1.` If the curve passes through the point `(1,2)` then the area of the region bounded by the curve, the x-axis and the line `x=1` is (A) `5/6` (B) `6/5` (C) `1/6` (D) `1`

A

`(5)/(3)` sq. units

B

`(5)/(6)` sq. units

C

`(6)/(5)` sq. units

D

6 sq. units

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The correct Answer is:
B
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AAKASH INSTITUTE-APPLICATION OF INTEGRALS -Assignment Section - A Competition Level Questions
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  9. The area of the region bounded by y = |x - 1| and y = 1 is

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  10. If area bounded by the curve x = ay^(2) and y = 1 is equal to

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  11. The area bounded by the curves y = |x| - 1 and y = -|x| +1 is equal to

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  12. The area of the region bounded by the curve y = x^(2) and y = |x| is ...

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  13. The slope of the tangent to a curve y=f(x) at (x,f(x)) is 2x+1. If the...

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  14. The area of the region bounded by the curves y = xe^x, y = e^x and the...

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  15. The area between the curves y= x^(2) and y = (2)/(1 + x^(2)) is equal ...

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  16. The area between the curves y = x^(3) and y = x + |x| is equal to

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  18. For which of the following values of m is the area of the regions boun...

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