Q1MathsUnit 8: Integral Calculus
Three solid cubes of sides and respectively are melted to form a new cube. Find the surface area
of the cube so formed.
Mathematics · JEE
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Syllabus context
Part of Integral Calculus in JEE Main Mathematics.
- Integral as an anti-derivative
- Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions
- Integration by substitution, by parts and by partial fractions
- Integration using trigonometric identities
- Evaluation of simple integrals of standard algebraic/trigonometric forms
- The fundamental theorem of calculus, properties of definite integrals
- Evaluation of definite integrals
- Determining areas of the regions bounded by simple curves in standard forms
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Q2MathsUnit 8: Integral Calculus
Draw the graph of straight line
Use your graph to find the
area between the line and co-ordinate
axes.
Q3MathsUnit 8: Integral Calculus
It cost Rs 4020 to paint the inner curved surface area of hemisphere of radius
8 . If it is painted at rate of Rs.
10 per . Find inner curved surface.
Q4MathsUnit 8: Integral Calculus
Determine the area of the shaded
segment
Q5MathsUnit 8: Integral Calculus
The area of the region bounded by the
curve and
between and is:
Q6MathsUnit 8: Integral Calculus
The volume of the global hemisphere is Find its diameter.
Q7MathsUnit 8: Integral Calculus
The area bounded by the axis, the
curve and the lines and
is equal to for all
then is
Q8MathsUnit 8: Integral Calculus
A sphere of radius is dropped into a cylindrical vessel of radius . If the sphere is submerged completely, then the height (in cm) to which the water
rises, is
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Popular questions in Determining areas of the regions bounded by simple curves in standard forms
- The area bounded by the \( x- \) axis, the curve \( y=f(x) \) and the lines \( x=1 \) and \( x=b \) is equal to \( (\sqr…
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