Mathematics · JEE

Medium Integral Calculus MCQs for JEE

25+ syllabus-aligned questions available

Quick answer

Medium Integral Calculus MCQs bridge basics and advanced JEE problems — 25+ available on Goodmarks.

Medium-difficulty Integral Calculus MCQs mirror typical JEE Main questions. Practise 25+ MCQs with step-by-step solutions.

JEE Formula Sheet

95+ important formulas for Integral Calculus

Attempt 8 free MCQs for Integral Calculus. Unlock 17+ 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

\int \sqrt{\frac{\cos x-\cos ^{3} x}{1-\cos ^{3} x}} d x=

Q8MathsUnit 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.

Want unlimited Integral Calculus practice?

Pro unlocks the full question bank, topic filters, and attempt history.

Yes for many units — combine with PYQ-style and mock tests as exam day approaches.