Mathematics · JEE

Hard Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions MCQs for JEE

4+ syllabus-aligned questions available

Quick answer

Hard Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions MCQs train multi-concept problem solving — attempt after mastering easy and medium sets (4+ on Goodmarks).

Push your limits with hard Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions MCQs designed for JEE Advanced-level thinking. 4+ questions with detailed solutions.

Syllabus context

Part of Integral Calculus in JEE Main Mathematics.

Free sample questions

Attempt 4 free MCQs for Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Unlock the full bank with Pro.

Unlock full bank

Q1MathsUnit 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=

Q2MathsUnit 8: Integral Calculus

STATEMENT - 1: The volume of largest sphere that can be carved out from cube of side a cm is

\frac{1}{6} \pi a^{3}

STATEMENT - 2: Volume of sphere is

\frac{4}{3} \pi r^{3}

and for largest sphere to carved from cube radius of sphere

=

side of cube

Q3MathsUnit 8: Integral Calculus

A hollow spherical shell is made of metal of density

4.8 \mathrm{g} / \mathrm{cm}^{3} .

If its internal and external radii are

10 \mathrm{cm}

and

12 \mathrm{cm}

respectively, find the weight of the shell

Q4MathsUnit 8: Integral Calculus

Assertion If

a>0

and

b^{2}-4 a c<0 .

then the value of the integral

\int \frac{d x}{a x^{2}+b x+c}

will be of the type

\mu \tan ^{-1}\left(\frac{x+A}{B}\right)+

C ;

where

A, B, C, \mu

are constant. Reason

f\left(a>0, b^{2}-4 a c<0, \text { then } a x^{2}+b x+\right.

c

can be written as sum of two squares.

Want unlimited Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions practice?

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

Get started free View Pro plans

Frequently asked questions

When should I attempt hard Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions MCQs?

After 70%+ accuracy on medium MCQs and once core formulas are automatic.

Syllabus context

Free sample questions

Popular questions in Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions

Frequently asked questions

When should I attempt hard Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions MCQs?

Related topics