Mathematics · JEE

Integral Calculus Revision for JEE

22+ syllabus-aligned questions available

Quick answer

Revise Integral Calculus by covering every subtopic once, drilling formulas, then solving 22+ timed MCQs with full solutions.

Use this Integral Calculus revision checklist before mocks and the final exam. Reinforce concepts with 22+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

1.Integration by substitution, parts, partial fractions
2.Definite integrals and properties
3.Area bounded by curves
4.Revise Integral as an anti-derivative with 10 MCQs
5.Revise Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions with 10 MCQs
6.Revise Integration by substitution, by parts and by partial fractions with 10 MCQs
7.Revise Integration using trigonometric identities with 10 MCQs
8.Revise Evaluation of simple integrals of standard algebraic/trigonometric forms with 10 MCQs
9.Revise The fundamental theorem of calculus, properties of definite integrals with 10 MCQs

95+ important formulas for Integral Calculus

Attempt 8 free MCQs for Integral Calculus. Unlock 14+ more with Pro.

Q1MathsUnit 8: Integral Calculus

Evaluate:

\int_{1}^{2} \log x d x

Q2MathsUnit 8: Integral Calculus

I_{n}=\int_{0}^{\pi / 4} \tan ^{n} x d x,

then

\frac{1}{I_{2}+I_{4}}, \frac{1}{I_{3}+I_{5}}, \frac{1}{I_{4}+I_{6}}, \dots

are in

Q3MathsUnit 8: Integral Calculus

\frac{\boldsymbol{x}+\mathbf{2}}{\boldsymbol{x}^{\boldsymbol{3}}-\boldsymbol{x}}=

Q4MathsUnit 8: Integral Calculus

\int\left(\frac{e^{5 \log x}-e^{4 \log x}}{e^{3 \log x}-e^{2 \log x}}\right) d x=

Q5MathsUnit 8: Integral Calculus

\boldsymbol{n} \stackrel{L t}{\rightarrow} \infty\left[\frac{\boldsymbol{n}+\mathbf{1}}{\boldsymbol{n}^{2}+\mathbf{1}^{2}}+\frac{\boldsymbol{n}+\boldsymbol{2}}{\boldsymbol{n}^{2}+\mathbf{2}^{2}}+\ldots+\right.

\left.\frac{\boldsymbol{n}+\boldsymbol{n}}{\boldsymbol{n}^{2}+\boldsymbol{n}^{2}}\right]=

Q6MathsUnit 8: Integral Calculus

\int \frac{\boldsymbol{f}(\boldsymbol{x})}{\log (\sin \boldsymbol{x})} \boldsymbol{d} \boldsymbol{x}=\log [\log \sin \boldsymbol{x}]+\boldsymbol{c}

\operatorname{then} f(x)=\dots

Q7MathsUnit 8: Integral Calculus

Three solid cubes of sides

1 \mathrm{cm}, 6 \mathrm{cm}

and

8 \mathrm{cm}

respectively are melted to form a new cube. Find the surface area of the cube so formed.

Q8MathsUnit 8: Integral Calculus

Draw the graph of straight line

y=

-2 x+3 .

Use your graph to find the area between the line and co-ordinate axes.

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Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.