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Sketch the graph of y = |x + 3|and evalu...

Sketch the graph of `y = |x + 3|`and evaluate`int_-6 ^0|x+3|dx`.

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To solve the problem, we will follow these steps: ### Step 1: Understand the Function The function we need to sketch is \( y = |x + 3| \). The absolute value function can be rewritten based on the value of \( x \): - When \( x + 3 \geq 0 \) (i.e., \( x \geq -3 \)), \( |x + 3| = x + 3 \). - When \( x + 3 < 0 \) (i.e., \( x < -3 \)), \( |x + 3| = -(x + 3) = -x - 3 \). ### Step 2: Sketch the Graph ...
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NCERT-APPLICATION OF INTEGRALS-MISCELLANEOUS EXERCISE
  1. The area of the circle x^2+y^2=16 exterior to the parabola y^2=6x is (...

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  2. Using the method of integration find the area bounded by the curve |x...

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  3. Find the area bounded by the curve y = sin x between x = 0 and x=2pi.

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  4. Using the method of integration find the area of the triangle ABC, co...

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  5. Area bounded by the curve y=x^3, the x-axis and the ordinates x = 2a...

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  6. Find the area of the region lying in the first quadrant and bounded b...

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  7. Find the area bounded by curves {(x ,y):ygeqx^2 and y = | x |}

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  8. Find the area of the region {(x ,y): y^2lt=4x ,4x^2+4y^2lt=9}

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  9. Find the area of the smaller region bounded by the ellipse (x^2)/9+(y...

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  10. Find the area of the smaller region bounded by the ellipse (x^2)/(a^2...

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  11. Sketch the graph of y = |x + 3|and evaluateint-6 ^0|x+3|dx.

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  12. Find the area enclosed between the parabola y^2=4a xand the line y = ...

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  13. Find the area enclosed by the parabola 4y=3x^2 and the line 2y=3x+12.

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  14. Find the area under the given curves and given lines:(i) y=x^2,x = 1,...

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  15. the area between the curves y= x^2 and y =4x is

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  16. Using the method of integration find the area of the region bounded b...

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  17. Find the area of the region enclosed by the parabola x^(2)=y and the l...

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  18. The area bounded by the curve y = x | x |, x-axis and the ordinates x...

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  19. The area bounded by the y-axis, y = cos xand y = s in xwhen 0lt=xlt=p...

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