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
Determining areas of the regions bounded by simple curves in standard forms Revision for JEE
8+ syllabus-aligned questions available
Quick answer
Revise Determining areas of the regions bounded by simple curves in standard forms by covering every subtopic once, drilling formulas, then solving 8+ timed MCQs with full solutions.
Use this Determining areas of the regions bounded by simple curves in standard forms revision checklist before mocks and the final exam. Reinforce concepts with 8+ syllabus-aligned MCQs on Goodmarks.
Revision checklist
- 1.Core idea: Determining areas of the regions bounded by simple curves in standard forms
- 2.Relates to other subtopics in Integral Calculus
- 3.Integration by substitution, parts, partial fractions
- 4.Definite integrals and properties
- 5.Master Determining areas of the regions bounded by simple curves in standard forms definitions and standard results
- 6.Solve 20 timed MCQs for Determining areas of the regions bounded by simple curves in standard forms
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
Free sample questions
Attempt 8 free MCQs for Determining areas of the regions bounded by simple curves in standard forms. Unlock the full bank with Pro.
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
Want unlimited Determining areas of the regions bounded by simple curves in standard forms practice?
Pro unlocks the full question bank, topic filters, and attempt history.
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…
- The area of the region bounded by the curve \( \boldsymbol{y}=\boldsymbol{x}^{2}+\mathbf{1} \) and \( \boldsymbol{y}=\ma…
- Three solid cubes of sides \( 1 \mathrm{cm}, 6 \mathrm{cm} \) and \( 8 \mathrm{cm} \) respectively are melted to form a …
- Draw the graph of straight line \( y= \) \( -2 x+3 . \) Use your graph to find the area between the line and co-ordinate…
- It cost Rs 4020 to paint the inner curved surface area of hemisphere of radius 8 \( m \). If it is painted at rate of Rs…
- The area of the region bounded by the curve \( \boldsymbol{y}=\boldsymbol{x}^{2}+\mathbf{1} \) and \( \boldsymbol{y}=\ma…
Frequently asked questions
How should I revise Determining areas of the regions bounded by simple curves in standard forms before JEE?
Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.
Related topics
How to Prepare: Determining areas of the regions bounded by simple curves in standard forms
JEE preparation strategy and study plan
Practice: Determining areas of the regions bounded by simple curves in standard forms
Online Practice
MCQs: Determining areas of the regions bounded by simple curves in standard forms
MCQs
PYQs: Determining areas of the regions bounded by simple curves in standard forms
Previous Year Questions
Important: Determining areas of the regions bounded by simple curves in standard forms
Important Questions
Mock Test: Determining areas of the regions bounded by simple curves in standard forms
Mock Test
Notes: Determining areas of the regions bounded by simple curves in standard forms
Notes & Formulas
Mistakes: Determining areas of the regions bounded by simple curves in standard forms
Common Mistakes
Weightage: Determining areas of the regions bounded by simple curves in standard forms
Weightage
Concepts: Determining areas of the regions bounded by simple curves in standard forms
Concepts
Tricks: Determining areas of the regions bounded by simple curves in standard forms
Short Tricks
Easy: Determining areas of the regions bounded by simple curves in standard forms
Easy MCQs