CBSE · Mathematics
Indefinite Integration
292 practice questions for CBSE — 162 easy · 119 medium · 11 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
$\int \frac{2 d x}{\left(e^x+e^{-x}\right)^2}=$
MCQ
$\int 3^x\left(f^{\prime}(x)+f(x) \log 3\right) d x$ is equal to
MCQ
If $5 f(x)+3 f\left(\frac{1}{x}\right)=2-\frac{1}{x}, x \neq 0$, then $\int_1^2 f\left(\frac{1}{x}\right) d x=$
MCQ
If $\int \frac{\mathrm{dx}}{1-\sin ^4 \mathrm{x}}=\mathrm{A} \tan \mathrm{x}+\mathrm{B} \operatorname{Tan}^{-1}(\sqrt{2} \tan \mathrm{x})+\mathrm{C}$, then $\mathrm{A}^2-\mathrm{B}^2=$
MCQ
$\int \frac{d x}{4+5 \cos x}=$
MCQ
$\int\left(\frac{1+x+\sqrt{x+x^2}}{\sqrt{x}+\sqrt{1+x}}\right) d x=$
MCQ
$\int \frac{d x}{\sin \left(x-\frac{\pi}{3}\right) \cos x}=$
MCQ
$\int e^x\left(\log x+\frac{1}{x^2}\right) d x=$
MCQ
$\int \frac{x}{\left(1-x^2\right) \sqrt{2-x^2}} d x=$
MCQ
If $\int \frac{1}{x\left[(\log x)^2+4 \log x-1\right]} d x=A \log \left[\frac{\log x+B}{\log x+C}\right]+K$ where $\mathrm{K}$ is the constant of integration, then
MCQ
$\int \sqrt{\mathrm{x}^2+\mathrm{x}+1} \mathrm{dx}$
MCQ
$0 < \mathrm{x} < 1, \int \frac{d x}{\sqrt{x^2-x^5}}=\frac{1}{3} \log |f(x)|+C$, then $f\left(\frac{1}{2}\right)=$